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Finding the Third Proportional to 24,580 and 36,894

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Solution

The third proportional to 24,580 and 36,894 is: 55,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580 : 36,894 = 36,894 : x
  2. Step 2: Convert to fraction form
    24,580/36,894 = 36,894/x
  3. Step 3: Cross multiply
    24,580x = 36,894 × 36,894
  4. Step 4: Simplify right side
    24,580x = 1,361,167,236
  5. Step 5: Solve for x
    x = 1,361,167,236/24,580
  6. Step 6: Final answer
    x = 55,377.02

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