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Finding the Third Proportional to 24,321 and 52,395

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Solution

The third proportional to 24,321 and 52,395 is: 112,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321 : 52,395 = 52,395 : x
  2. Step 2: Convert to fraction form
    24,321/52,395 = 52,395/x
  3. Step 3: Cross multiply
    24,321x = 52,395 × 52,395
  4. Step 4: Simplify right side
    24,321x = 2,745,236,025
  5. Step 5: Solve for x
    x = 2,745,236,025/24,321
  6. Step 6: Final answer
    x = 112,875.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.