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Finding the Third Proportional to 24,047 and 52,522

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Solution

The third proportional to 24,047 and 52,522 is: 114,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047 : 52,522 = 52,522 : x
  2. Step 2: Convert to fraction form
    24,047/52,522 = 52,522/x
  3. Step 3: Cross multiply
    24,047x = 52,522 × 52,522
  4. Step 4: Simplify right side
    24,047x = 2,758,560,484
  5. Step 5: Solve for x
    x = 2,758,560,484/24,047
  6. Step 6: Final answer
    x = 114,715.37

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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.