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Finding the Third Proportional to 7,374 and 15,131

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Solution

The third proportional to 7,374 and 15,131 is: 31,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374 : 15,131 = 15,131 : x
  2. Step 2: Convert to fraction form
    7,374/15,131 = 15,131/x
  3. Step 3: Cross multiply
    7,374x = 15,131 × 15,131
  4. Step 4: Simplify right side
    7,374x = 228,947,161
  5. Step 5: Solve for x
    x = 228,947,161/7,374
  6. Step 6: Final answer
    x = 31,047.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.