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Finding the Third Proportional to 2,562.19 and 5,625.84

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Solution

The third proportional to 2,562.19 and 5,625.84 is: 12,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.19 : 5,625.84 = 5,625.84 : x
  2. Step 2: Convert to fraction form
    2,562.19/5,625.84 = 5,625.84/x
  3. Step 3: Cross multiply
    2,562.19x = 5,625.84 × 5,625.84
  4. Step 4: Simplify right side
    2,562.19x = 31,650,117.90
  5. Step 5: Solve for x
    x = 31,650,117.90/2,562.19
  6. Step 6: Final answer
    x = 12,352.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.