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Finding the Third Proportional to 24,080 and 51,464

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Solution

The third proportional to 24,080 and 51,464 is: 109,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,080 : 51,464 = 51,464 : x
  2. Step 2: Convert to fraction form
    24,080/51,464 = 51,464/x
  3. Step 3: Cross multiply
    24,080x = 51,464 × 51,464
  4. Step 4: Simplify right side
    24,080x = 2,648,543,296
  5. Step 5: Solve for x
    x = 2,648,543,296/24,080
  6. Step 6: Final answer
    x = 109,989.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.