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Finding the Third Proportional to 17,715 and 38,724

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Solution

The third proportional to 17,715 and 38,724 is: 84,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715 : 38,724 = 38,724 : x
  2. Step 2: Convert to fraction form
    17,715/38,724 = 38,724/x
  3. Step 3: Cross multiply
    17,715x = 38,724 × 38,724
  4. Step 4: Simplify right side
    17,715x = 1,499,548,176
  5. Step 5: Solve for x
    x = 1,499,548,176/17,715
  6. Step 6: Final answer
    x = 84,648.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.