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Finding the Third Proportional to 24,534 and 36,702

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Solution

The third proportional to 24,534 and 36,702 is: 54,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 36,702 = 36,702 : x
  2. Step 2: Convert to fraction form
    24,534/36,702 = 36,702/x
  3. Step 3: Cross multiply
    24,534x = 36,702 × 36,702
  4. Step 4: Simplify right side
    24,534x = 1,347,036,804
  5. Step 5: Solve for x
    x = 1,347,036,804/24,534
  6. Step 6: Final answer
    x = 54,904.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.