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Finding the Third Proportional to 30,755.06 and 39,298.13

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Solution

The third proportional to 30,755.06 and 39,298.13 is: 50,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.06 : 39,298.13 = 39,298.13 : x
  2. Step 2: Convert to fraction form
    30,755.06/39,298.13 = 39,298.13/x
  3. Step 3: Cross multiply
    30,755.06x = 39,298.13 × 39,298.13
  4. Step 4: Simplify right side
    30,755.06x = 1,544,342,628.52
  5. Step 5: Solve for x
    x = 1,544,342,628.52/30,755.06
  6. Step 6: Final answer
    x = 50,214.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.