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Finding the Third Proportional to 7,084.13 and 15,514.88

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Solution

The third proportional to 7,084.13 and 15,514.88 is: 33,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.13 : 15,514.88 = 15,514.88 : x
  2. Step 2: Convert to fraction form
    7,084.13/15,514.88 = 15,514.88/x
  3. Step 3: Cross multiply
    7,084.13x = 15,514.88 × 15,514.88
  4. Step 4: Simplify right side
    7,084.13x = 240,711,346.27
  5. Step 5: Solve for x
    x = 240,711,346.27/7,084.13
  6. Step 6: Final answer
    x = 33,978.98

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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.