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Finding the Third Proportional to 30,152.25 and 44,325.56

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Solution

The third proportional to 30,152.25 and 44,325.56 is: 65,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.25 : 44,325.56 = 44,325.56 : x
  2. Step 2: Convert to fraction form
    30,152.25/44,325.56 = 44,325.56/x
  3. Step 3: Cross multiply
    30,152.25x = 44,325.56 × 44,325.56
  4. Step 4: Simplify right side
    30,152.25x = 1,964,755,490.94
  5. Step 5: Solve for x
    x = 1,964,755,490.94/30,152.25
  6. Step 6: Final answer
    x = 65,161.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.