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Finding the Third Proportional to 10,020 and 24,135

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Solution

The third proportional to 10,020 and 24,135 is: 58,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020 : 24,135 = 24,135 : x
  2. Step 2: Convert to fraction form
    10,020/24,135 = 24,135/x
  3. Step 3: Cross multiply
    10,020x = 24,135 × 24,135
  4. Step 4: Simplify right side
    10,020x = 582,498,225
  5. Step 5: Solve for x
    x = 582,498,225/10,020
  6. Step 6: Final answer
    x = 58,133.56

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.