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Finding the Third Proportional to 1,580.45 and 2,876.13

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Solution

The third proportional to 1,580.45 and 2,876.13 is: 5,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.45 : 2,876.13 = 2,876.13 : x
  2. Step 2: Convert to fraction form
    1,580.45/2,876.13 = 2,876.13/x
  3. Step 3: Cross multiply
    1,580.45x = 2,876.13 × 2,876.13
  4. Step 4: Simplify right side
    1,580.45x = 8,272,139.96
  5. Step 5: Solve for x
    x = 8,272,139.96/1,580.45
  6. Step 6: Final answer
    x = 5,234.04

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.