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Finding the Third Proportional to 24,014 and 52,360

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Solution

The third proportional to 24,014 and 52,360 is: 114,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014 : 52,360 = 52,360 : x
  2. Step 2: Convert to fraction form
    24,014/52,360 = 52,360/x
  3. Step 3: Cross multiply
    24,014x = 52,360 × 52,360
  4. Step 4: Simplify right side
    24,014x = 2,741,569,600
  5. Step 5: Solve for x
    x = 2,741,569,600/24,014
  6. Step 6: Final answer
    x = 114,165.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.