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Finding the Third Proportional to 39,029 and 84,298

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Solution

The third proportional to 39,029 and 84,298 is: 182,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,029 : 84,298 = 84,298 : x
  2. Step 2: Convert to fraction form
    39,029/84,298 = 84,298/x
  3. Step 3: Cross multiply
    39,029x = 84,298 × 84,298
  4. Step 4: Simplify right side
    39,029x = 7,106,152,804
  5. Step 5: Solve for x
    x = 7,106,152,804/39,029
  6. Step 6: Final answer
    x = 182,073.66

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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.