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Finding the Third Proportional to 39,562 and 85,658

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Solution

The third proportional to 39,562 and 85,658 is: 185,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,562 : 85,658 = 85,658 : x
  2. Step 2: Convert to fraction form
    39,562/85,658 = 85,658/x
  3. Step 3: Cross multiply
    39,562x = 85,658 × 85,658
  4. Step 4: Simplify right side
    39,562x = 7,337,292,964
  5. Step 5: Solve for x
    x = 7,337,292,964/39,562
  6. Step 6: Final answer
    x = 185,463.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.