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Finding the Third Proportional to 2,554.31 and 5,580

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Solution

The third proportional to 2,554.31 and 5,580 is: 12,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.31 : 5,580 = 5,580 : x
  2. Step 2: Convert to fraction form
    2,554.31/5,580 = 5,580/x
  3. Step 3: Cross multiply
    2,554.31x = 5,580 × 5,580
  4. Step 4: Simplify right side
    2,554.31x = 31,136,400
  5. Step 5: Solve for x
    x = 31,136,400/2,554.31
  6. Step 6: Final answer
    x = 12,189.74

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Why These Related Problems?

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