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Finding the Third Proportional to 22,570 and 35,087

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Solution

The third proportional to 22,570 and 35,087 is: 54,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570 : 35,087 = 35,087 : x
  2. Step 2: Convert to fraction form
    22,570/35,087 = 35,087/x
  3. Step 3: Cross multiply
    22,570x = 35,087 × 35,087
  4. Step 4: Simplify right side
    22,570x = 1,231,097,569
  5. Step 5: Solve for x
    x = 1,231,097,569/22,570
  6. Step 6: Final answer
    x = 54,545.75

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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.