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Finding the Third Proportional to 17,677.13 and 38,531.25

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Solution

The third proportional to 17,677.13 and 38,531.25 is: 83,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.13 : 38,531.25 = 38,531.25 : x
  2. Step 2: Convert to fraction form
    17,677.13/38,531.25 = 38,531.25/x
  3. Step 3: Cross multiply
    17,677.13x = 38,531.25 × 38,531.25
  4. Step 4: Simplify right side
    17,677.13x = 1,484,657,226.56
  5. Step 5: Solve for x
    x = 1,484,657,226.56/17,677.13
  6. Step 6: Final answer
    x = 83,987.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.