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Finding the Third Proportional to 23,511.52 and 51,307.17

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Solution

The third proportional to 23,511.52 and 51,307.17 is: 111,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511.52 : 51,307.17 = 51,307.17 : x
  2. Step 2: Convert to fraction form
    23,511.52/51,307.17 = 51,307.17/x
  3. Step 3: Cross multiply
    23,511.52x = 51,307.17 × 51,307.17
  4. Step 4: Simplify right side
    23,511.52x = 2,632,425,885.81
  5. Step 5: Solve for x
    x = 2,632,425,885.81/23,511.52
  6. Step 6: Final answer
    x = 111,963.26

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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.