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Finding the Third Proportional to 24,404 and 52,570

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Solution

The third proportional to 24,404 and 52,570 is: 113,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,404 : 52,570 = 52,570 : x
  2. Step 2: Convert to fraction form
    24,404/52,570 = 52,570/x
  3. Step 3: Cross multiply
    24,404x = 52,570 × 52,570
  4. Step 4: Simplify right side
    24,404x = 2,763,604,900
  5. Step 5: Solve for x
    x = 2,763,604,900/24,404
  6. Step 6: Final answer
    x = 113,243.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.