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Finding the Third Proportional to 39,460 and 84,525

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Solution

The third proportional to 39,460 and 84,525 is: 181,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,460 : 84,525 = 84,525 : x
  2. Step 2: Convert to fraction form
    39,460/84,525 = 84,525/x
  3. Step 3: Cross multiply
    39,460x = 84,525 × 84,525
  4. Step 4: Simplify right side
    39,460x = 7,144,475,625
  5. Step 5: Solve for x
    x = 7,144,475,625/39,460
  6. Step 6: Final answer
    x = 181,056.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.