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Finding the Third Proportional to 39,535 and 61,570

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Solution

The third proportional to 39,535 and 61,570 is: 95,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,535 : 61,570 = 61,570 : x
  2. Step 2: Convert to fraction form
    39,535/61,570 = 61,570/x
  3. Step 3: Cross multiply
    39,535x = 61,570 × 61,570
  4. Step 4: Simplify right side
    39,535x = 3,790,864,900
  5. Step 5: Solve for x
    x = 3,790,864,900/39,535
  6. Step 6: Final answer
    x = 95,886.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.