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Finding the Third Proportional to 17,715 and 25,708.50

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Solution

The third proportional to 17,715 and 25,708.50 is: 37,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715 : 25,708.50 = 25,708.50 : x
  2. Step 2: Convert to fraction form
    17,715/25,708.50 = 25,708.50/x
  3. Step 3: Cross multiply
    17,715x = 25,708.50 × 25,708.50
  4. Step 4: Simplify right side
    17,715x = 660,926,972.25
  5. Step 5: Solve for x
    x = 660,926,972.25/17,715
  6. Step 6: Final answer
    x = 37,308.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.