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Finding the Third Proportional to 763.06 and 1,566.69

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Solution

The third proportional to 763.06 and 1,566.69 is: 3,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.06 : 1,566.69 = 1,566.69 : x
  2. Step 2: Convert to fraction form
    763.06/1,566.69 = 1,566.69/x
  3. Step 3: Cross multiply
    763.06x = 1,566.69 × 1,566.69
  4. Step 4: Simplify right side
    763.06x = 2,454,509.72
  5. Step 5: Solve for x
    x = 2,454,509.72/763.06
  6. Step 6: Final answer
    x = 3,216.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.