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Finding the Third Proportional to 24,064 and 52,340

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Solution

The third proportional to 24,064 and 52,340 is: 113,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,064 : 52,340 = 52,340 : x
  2. Step 2: Convert to fraction form
    24,064/52,340 = 52,340/x
  3. Step 3: Cross multiply
    24,064x = 52,340 × 52,340
  4. Step 4: Simplify right side
    24,064x = 2,739,475,600
  5. Step 5: Solve for x
    x = 2,739,475,600/24,064
  6. Step 6: Final answer
    x = 113,841.24

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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.