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Finding the Third Proportional to 10,022 and 15,060

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Solution

The third proportional to 10,022 and 15,060 is: 22,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022 : 15,060 = 15,060 : x
  2. Step 2: Convert to fraction form
    10,022/15,060 = 15,060/x
  3. Step 3: Cross multiply
    10,022x = 15,060 × 15,060
  4. Step 4: Simplify right side
    10,022x = 226,803,600
  5. Step 5: Solve for x
    x = 226,803,600/10,022
  6. Step 6: Final answer
    x = 22,630.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.