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Finding the Third Proportional to 39,501 and 86,382

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Solution

The third proportional to 39,501 and 86,382 is: 188,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,501 : 86,382 = 86,382 : x
  2. Step 2: Convert to fraction form
    39,501/86,382 = 86,382/x
  3. Step 3: Cross multiply
    39,501x = 86,382 × 86,382
  4. Step 4: Simplify right side
    39,501x = 7,461,849,924
  5. Step 5: Solve for x
    x = 7,461,849,924/39,501
  6. Step 6: Final answer
    x = 188,902.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.