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Finding the Third Proportional to 22,765 and 49,681

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Solution

The third proportional to 22,765 and 49,681 is: 108,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765 : 49,681 = 49,681 : x
  2. Step 2: Convert to fraction form
    22,765/49,681 = 49,681/x
  3. Step 3: Cross multiply
    22,765x = 49,681 × 49,681
  4. Step 4: Simplify right side
    22,765x = 2,468,201,761
  5. Step 5: Solve for x
    x = 2,468,201,761/22,765
  6. Step 6: Final answer
    x = 108,420.90

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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.