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Finding the Third Proportional to 6,506 and 8,948

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Solution

The third proportional to 6,506 and 8,948 is: 12,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 8,948 = 8,948 : x
  2. Step 2: Convert to fraction form
    6,506/8,948 = 8,948/x
  3. Step 3: Cross multiply
    6,506x = 8,948 × 8,948
  4. Step 4: Simplify right side
    6,506x = 80,066,704
  5. Step 5: Solve for x
    x = 80,066,704/6,506
  6. Step 6: Final answer
    x = 12,306.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.