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Finding the Third Proportional to 7,127.16 and 16,516.83

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Solution

The third proportional to 7,127.16 and 16,516.83 is: 38,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.16 : 16,516.83 = 16,516.83 : x
  2. Step 2: Convert to fraction form
    7,127.16/16,516.83 = 16,516.83/x
  3. Step 3: Cross multiply
    7,127.16x = 16,516.83 × 16,516.83
  4. Step 4: Simplify right side
    7,127.16x = 272,805,611.31
  5. Step 5: Solve for x
    x = 272,805,611.31/7,127.16
  6. Step 6: Final answer
    x = 38,276.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.