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Finding the Third Proportional to 10,654.03 and 16,713.21

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Solution

The third proportional to 10,654.03 and 16,713.21 is: 26,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.03 : 16,713.21 = 16,713.21 : x
  2. Step 2: Convert to fraction form
    10,654.03/16,713.21 = 16,713.21/x
  3. Step 3: Cross multiply
    10,654.03x = 16,713.21 × 16,713.21
  4. Step 4: Simplify right side
    10,654.03x = 279,331,419.84
  5. Step 5: Solve for x
    x = 279,331,419.84/10,654.03
  6. Step 6: Final answer
    x = 26,218.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.