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Finding the Third Proportional to 38,053.13 and 81,712.13

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Solution

The third proportional to 38,053.13 and 81,712.13 is: 175,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053.13 : 81,712.13 = 81,712.13 : x
  2. Step 2: Convert to fraction form
    38,053.13/81,712.13 = 81,712.13/x
  3. Step 3: Cross multiply
    38,053.13x = 81,712.13 × 81,712.13
  4. Step 4: Simplify right side
    38,053.13x = 6,676,871,372.02
  5. Step 5: Solve for x
    x = 6,676,871,372.02/38,053.13
  6. Step 6: Final answer
    x = 175,461.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.