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Finding the Third Proportional to 24,738 and 34,605

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Solution

The third proportional to 24,738 and 34,605 is: 48,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738 : 34,605 = 34,605 : x
  2. Step 2: Convert to fraction form
    24,738/34,605 = 34,605/x
  3. Step 3: Cross multiply
    24,738x = 34,605 × 34,605
  4. Step 4: Simplify right side
    24,738x = 1,197,506,025
  5. Step 5: Solve for x
    x = 1,197,506,025/24,738
  6. Step 6: Final answer
    x = 48,407.55

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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.