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Finding the Third Proportional to 24,464 and 34,040

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Solution

The third proportional to 24,464 and 34,040 is: 47,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464 : 34,040 = 34,040 : x
  2. Step 2: Convert to fraction form
    24,464/34,040 = 34,040/x
  3. Step 3: Cross multiply
    24,464x = 34,040 × 34,040
  4. Step 4: Simplify right side
    24,464x = 1,158,721,600
  5. Step 5: Solve for x
    x = 1,158,721,600/24,464
  6. Step 6: Final answer
    x = 47,364.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.