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Finding the Third Proportional to 24,642 and 36,315

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Solution

The third proportional to 24,642 and 36,315 is: 53,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642 : 36,315 = 36,315 : x
  2. Step 2: Convert to fraction form
    24,642/36,315 = 36,315/x
  3. Step 3: Cross multiply
    24,642x = 36,315 × 36,315
  4. Step 4: Simplify right side
    24,642x = 1,318,779,225
  5. Step 5: Solve for x
    x = 1,318,779,225/24,642
  6. Step 6: Final answer
    x = 53,517.54

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Why These Related Problems?

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