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Finding the Third Proportional to 24,311 and 52,996

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Solution

The third proportional to 24,311 and 52,996 is: 115,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311 : 52,996 = 52,996 : x
  2. Step 2: Convert to fraction form
    24,311/52,996 = 52,996/x
  3. Step 3: Cross multiply
    24,311x = 52,996 × 52,996
  4. Step 4: Simplify right side
    24,311x = 2,808,576,016
  5. Step 5: Solve for x
    x = 2,808,576,016/24,311
  6. Step 6: Final answer
    x = 115,526.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.