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Finding the Third Proportional to 39,283 and 84,791

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Solution

The third proportional to 39,283 and 84,791 is: 183,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,283 : 84,791 = 84,791 : x
  2. Step 2: Convert to fraction form
    39,283/84,791 = 84,791/x
  3. Step 3: Cross multiply
    39,283x = 84,791 × 84,791
  4. Step 4: Simplify right side
    39,283x = 7,189,513,681
  5. Step 5: Solve for x
    x = 7,189,513,681/39,283
  6. Step 6: Final answer
    x = 183,018.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.