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Finding the Third Proportional to 11,516.34 and 25,117.17

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Solution

The third proportional to 11,516.34 and 25,117.17 is: 54,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.34 : 25,117.17 = 25,117.17 : x
  2. Step 2: Convert to fraction form
    11,516.34/25,117.17 = 25,117.17/x
  3. Step 3: Cross multiply
    11,516.34x = 25,117.17 × 25,117.17
  4. Step 4: Simplify right side
    11,516.34x = 630,872,323.00
  5. Step 5: Solve for x
    x = 630,872,323.00/11,516.34
  6. Step 6: Final answer
    x = 54,780.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.