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Finding the Third Proportional to 39,533 and 62,875

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Solution

The third proportional to 39,533 and 62,875 is: 99,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,533 : 62,875 = 62,875 : x
  2. Step 2: Convert to fraction form
    39,533/62,875 = 62,875/x
  3. Step 3: Cross multiply
    39,533x = 62,875 × 62,875
  4. Step 4: Simplify right side
    39,533x = 3,953,265,625
  5. Step 5: Solve for x
    x = 3,953,265,625/39,533
  6. Step 6: Final answer
    x = 99,999.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.