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Finding the Third Proportional to 999.19 and 1,581

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Solution

The third proportional to 999.19 and 1,581 is: 2,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.19 : 1,581 = 1,581 : x
  2. Step 2: Convert to fraction form
    999.19/1,581 = 1,581/x
  3. Step 3: Cross multiply
    999.19x = 1,581 × 1,581
  4. Step 4: Simplify right side
    999.19x = 2,499,561
  5. Step 5: Solve for x
    x = 2,499,561/999.19
  6. Step 6: Final answer
    x = 2,501.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.