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Finding the Third Proportional to 30,149.44 and 44,320.78

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Solution

The third proportional to 30,149.44 and 44,320.78 is: 65,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.44 : 44,320.78 = 44,320.78 : x
  2. Step 2: Convert to fraction form
    30,149.44/44,320.78 = 44,320.78/x
  3. Step 3: Cross multiply
    30,149.44x = 44,320.78 × 44,320.78
  4. Step 4: Simplify right side
    30,149.44x = 1,964,331,650.61
  5. Step 5: Solve for x
    x = 1,964,331,650.61/30,149.44
  6. Step 6: Final answer
    x = 65,153.18

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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.