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Finding the Third Proportional to 7,442 and 10,135

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Solution

The third proportional to 7,442 and 10,135 is: 13,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442 : 10,135 = 10,135 : x
  2. Step 2: Convert to fraction form
    7,442/10,135 = 10,135/x
  3. Step 3: Cross multiply
    7,442x = 10,135 × 10,135
  4. Step 4: Simplify right side
    7,442x = 102,718,225
  5. Step 5: Solve for x
    x = 102,718,225/7,442
  6. Step 6: Final answer
    x = 13,802.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.