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Finding the Third Proportional to 24,218 and 35,531

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Solution

The third proportional to 24,218 and 35,531 is: 52,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218 : 35,531 = 35,531 : x
  2. Step 2: Convert to fraction form
    24,218/35,531 = 35,531/x
  3. Step 3: Cross multiply
    24,218x = 35,531 × 35,531
  4. Step 4: Simplify right side
    24,218x = 1,262,451,961
  5. Step 5: Solve for x
    x = 1,262,451,961/24,218
  6. Step 6: Final answer
    x = 52,128.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.