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Finding the Third Proportional to 24,880 and 52,065

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Solution

The third proportional to 24,880 and 52,065 is: 108,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,880 : 52,065 = 52,065 : x
  2. Step 2: Convert to fraction form
    24,880/52,065 = 52,065/x
  3. Step 3: Cross multiply
    24,880x = 52,065 × 52,065
  4. Step 4: Simplify right side
    24,880x = 2,710,764,225
  5. Step 5: Solve for x
    x = 2,710,764,225/24,880
  6. Step 6: Final answer
    x = 108,953.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.