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Finding the Third Proportional to 9,282 and 10,978

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Solution

The third proportional to 9,282 and 10,978 is: 12,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282 : 10,978 = 10,978 : x
  2. Step 2: Convert to fraction form
    9,282/10,978 = 10,978/x
  3. Step 3: Cross multiply
    9,282x = 10,978 × 10,978
  4. Step 4: Simplify right side
    9,282x = 120,516,484
  5. Step 5: Solve for x
    x = 120,516,484/9,282
  6. Step 6: Final answer
    x = 12,983.89

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.