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Finding the Third Proportional to 24,402 and 34,269

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Solution

The third proportional to 24,402 and 34,269 is: 48,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402 : 34,269 = 34,269 : x
  2. Step 2: Convert to fraction form
    24,402/34,269 = 34,269/x
  3. Step 3: Cross multiply
    24,402x = 34,269 × 34,269
  4. Step 4: Simplify right side
    24,402x = 1,174,364,361
  5. Step 5: Solve for x
    x = 1,174,364,361/24,402
  6. Step 6: Final answer
    x = 48,125.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.