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Finding the Third Proportional to 24,040 and 55,651

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Solution

The third proportional to 24,040 and 55,651 is: 128,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,040 : 55,651 = 55,651 : x
  2. Step 2: Convert to fraction form
    24,040/55,651 = 55,651/x
  3. Step 3: Cross multiply
    24,040x = 55,651 × 55,651
  4. Step 4: Simplify right side
    24,040x = 3,097,033,801
  5. Step 5: Solve for x
    x = 3,097,033,801/24,040
  6. Step 6: Final answer
    x = 128,828.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.