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Finding the Third Proportional to 824.06 and 1,281.66

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Solution

The third proportional to 824.06 and 1,281.66 is: 1,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.06 : 1,281.66 = 1,281.66 : x
  2. Step 2: Convert to fraction form
    824.06/1,281.66 = 1,281.66/x
  3. Step 3: Cross multiply
    824.06x = 1,281.66 × 1,281.66
  4. Step 4: Simplify right side
    824.06x = 1,642,642.74
  5. Step 5: Solve for x
    x = 1,642,642.74/824.06
  6. Step 6: Final answer
    x = 1,993.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.