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Finding the Third Proportional to 10,400.91 and 22,702.78

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Solution

The third proportional to 10,400.91 and 22,702.78 is: 49,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.91 : 22,702.78 = 22,702.78 : x
  2. Step 2: Convert to fraction form
    10,400.91/22,702.78 = 22,702.78/x
  3. Step 3: Cross multiply
    10,400.91x = 22,702.78 × 22,702.78
  4. Step 4: Simplify right side
    10,400.91x = 515,416,276.49
  5. Step 5: Solve for x
    x = 515,416,276.49/10,400.91
  6. Step 6: Final answer
    x = 49,554.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.