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Finding the Third Proportional to 24,382 and 52,929

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Solution

The third proportional to 24,382 and 52,929 is: 114,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382 : 52,929 = 52,929 : x
  2. Step 2: Convert to fraction form
    24,382/52,929 = 52,929/x
  3. Step 3: Cross multiply
    24,382x = 52,929 × 52,929
  4. Step 4: Simplify right side
    24,382x = 2,801,479,041
  5. Step 5: Solve for x
    x = 2,801,479,041/24,382
  6. Step 6: Final answer
    x = 114,899.48

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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.