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Finding the Third Proportional to 22,951 and 53,239

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Solution

The third proportional to 22,951 and 53,239 is: 123,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951 : 53,239 = 53,239 : x
  2. Step 2: Convert to fraction form
    22,951/53,239 = 53,239/x
  3. Step 3: Cross multiply
    22,951x = 53,239 × 53,239
  4. Step 4: Simplify right side
    22,951x = 2,834,391,121
  5. Step 5: Solve for x
    x = 2,834,391,121/22,951
  6. Step 6: Final answer
    x = 123,497.50

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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.