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Finding the Third Proportional to 7,407 and 15,731

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Solution

The third proportional to 7,407 and 15,731 is: 33,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407 : 15,731 = 15,731 : x
  2. Step 2: Convert to fraction form
    7,407/15,731 = 15,731/x
  3. Step 3: Cross multiply
    7,407x = 15,731 × 15,731
  4. Step 4: Simplify right side
    7,407x = 247,464,361
  5. Step 5: Solve for x
    x = 247,464,361/7,407
  6. Step 6: Final answer
    x = 33,409.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.