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Finding the Third Proportional to 4,740 and 8,082

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Solution

The third proportional to 4,740 and 8,082 is: 13,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740 : 8,082 = 8,082 : x
  2. Step 2: Convert to fraction form
    4,740/8,082 = 8,082/x
  3. Step 3: Cross multiply
    4,740x = 8,082 × 8,082
  4. Step 4: Simplify right side
    4,740x = 65,318,724
  5. Step 5: Solve for x
    x = 65,318,724/4,740
  6. Step 6: Final answer
    x = 13,780.32

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.