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Finding the Third Proportional to 2,605.61 and 5,521.61

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Solution

The third proportional to 2,605.61 and 5,521.61 is: 11,700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.61 : 5,521.61 = 5,521.61 : x
  2. Step 2: Convert to fraction form
    2,605.61/5,521.61 = 5,521.61/x
  3. Step 3: Cross multiply
    2,605.61x = 5,521.61 × 5,521.61
  4. Step 4: Simplify right side
    2,605.61x = 30,488,126.95
  5. Step 5: Solve for x
    x = 30,488,126.95/2,605.61
  6. Step 6: Final answer
    x = 11,700.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.