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Finding the Third Proportional to 882.19 and 1,281.56

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Solution

The third proportional to 882.19 and 1,281.56 is: 1,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.19 : 1,281.56 = 1,281.56 : x
  2. Step 2: Convert to fraction form
    882.19/1,281.56 = 1,281.56/x
  3. Step 3: Cross multiply
    882.19x = 1,281.56 × 1,281.56
  4. Step 4: Simplify right side
    882.19x = 1,642,402.44
  5. Step 5: Solve for x
    x = 1,642,402.44/882.19
  6. Step 6: Final answer
    x = 1,861.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.