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Finding the Third Proportional to 7,092.56 and 15,523.52

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Solution

The third proportional to 7,092.56 and 15,523.52 is: 33,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.56 : 15,523.52 = 15,523.52 : x
  2. Step 2: Convert to fraction form
    7,092.56/15,523.52 = 15,523.52/x
  3. Step 3: Cross multiply
    7,092.56x = 15,523.52 × 15,523.52
  4. Step 4: Simplify right side
    7,092.56x = 240,979,779.91
  5. Step 5: Solve for x
    x = 240,979,779.91/7,092.56
  6. Step 6: Final answer
    x = 33,976.41

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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.