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Finding the Third Proportional to 9,978.47 and 16,630.17

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Solution

The third proportional to 9,978.47 and 16,630.17 is: 27,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.47 : 16,630.17 = 16,630.17 : x
  2. Step 2: Convert to fraction form
    9,978.47/16,630.17 = 16,630.17/x
  3. Step 3: Cross multiply
    9,978.47x = 16,630.17 × 16,630.17
  4. Step 4: Simplify right side
    9,978.47x = 276,562,616.59
  5. Step 5: Solve for x
    x = 276,562,616.59/9,978.47
  6. Step 6: Final answer
    x = 27,715.94

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.