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Finding the Third Proportional to 6,506 and 9,271

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Solution

The third proportional to 6,506 and 9,271 is: 13,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 9,271 = 9,271 : x
  2. Step 2: Convert to fraction form
    6,506/9,271 = 9,271/x
  3. Step 3: Cross multiply
    6,506x = 9,271 × 9,271
  4. Step 4: Simplify right side
    6,506x = 85,951,441
  5. Step 5: Solve for x
    x = 85,951,441/6,506
  6. Step 6: Final answer
    x = 13,211.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.