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Finding the Third Proportional to 22,686.75 and 49,267.13

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Solution

The third proportional to 22,686.75 and 49,267.13 is: 106,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.75 : 49,267.13 = 49,267.13 : x
  2. Step 2: Convert to fraction form
    22,686.75/49,267.13 = 49,267.13/x
  3. Step 3: Cross multiply
    22,686.75x = 49,267.13 × 49,267.13
  4. Step 4: Simplify right side
    22,686.75x = 2,427,249,605.77
  5. Step 5: Solve for x
    x = 2,427,249,605.77/22,686.75
  6. Step 6: Final answer
    x = 106,989.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.