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Finding the Third Proportional to 6,490.13 and 15,516.56

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Solution

The third proportional to 6,490.13 and 15,516.56 is: 37,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.13 : 15,516.56 = 15,516.56 : x
  2. Step 2: Convert to fraction form
    6,490.13/15,516.56 = 15,516.56/x
  3. Step 3: Cross multiply
    6,490.13x = 15,516.56 × 15,516.56
  4. Step 4: Simplify right side
    6,490.13x = 240,763,711.82
  5. Step 5: Solve for x
    x = 240,763,711.82/6,490.13
  6. Step 6: Final answer
    x = 37,096.93

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.