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Finding the Third Proportional to 7,202 and 9,731

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Solution

The third proportional to 7,202 and 9,731 is: 13,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202 : 9,731 = 9,731 : x
  2. Step 2: Convert to fraction form
    7,202/9,731 = 9,731/x
  3. Step 3: Cross multiply
    7,202x = 9,731 × 9,731
  4. Step 4: Simplify right side
    7,202x = 94,692,361
  5. Step 5: Solve for x
    x = 94,692,361/7,202
  6. Step 6: Final answer
    x = 13,148.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.