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Finding the Third Proportional to 7,115.91 and 15,598.69

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Solution

The third proportional to 7,115.91 and 15,598.69 is: 34,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.91 : 15,598.69 = 15,598.69 : x
  2. Step 2: Convert to fraction form
    7,115.91/15,598.69 = 15,598.69/x
  3. Step 3: Cross multiply
    7,115.91x = 15,598.69 × 15,598.69
  4. Step 4: Simplify right side
    7,115.91x = 243,319,051.72
  5. Step 5: Solve for x
    x = 243,319,051.72/7,115.91
  6. Step 6: Final answer
    x = 34,193.68

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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.