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Finding the Third Proportional to 22,497.75 and 34,957.13

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Solution

The third proportional to 22,497.75 and 34,957.13 is: 54,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.75 : 34,957.13 = 34,957.13 : x
  2. Step 2: Convert to fraction form
    22,497.75/34,957.13 = 34,957.13/x
  3. Step 3: Cross multiply
    22,497.75x = 34,957.13 × 34,957.13
  4. Step 4: Simplify right side
    22,497.75x = 1,222,000,588.27
  5. Step 5: Solve for x
    x = 1,222,000,588.27/22,497.75
  6. Step 6: Final answer
    x = 54,316.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.