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Finding the Third Proportional to 18,374 and 24,116

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Solution

The third proportional to 18,374 and 24,116 is: 31,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,374 : 24,116 = 24,116 : x
  2. Step 2: Convert to fraction form
    18,374/24,116 = 24,116/x
  3. Step 3: Cross multiply
    18,374x = 24,116 × 24,116
  4. Step 4: Simplify right side
    18,374x = 581,581,456
  5. Step 5: Solve for x
    x = 581,581,456/18,374
  6. Step 6: Final answer
    x = 31,652.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.