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Finding the Third Proportional to 766.13 and 1,653.75

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Solution

The third proportional to 766.13 and 1,653.75 is: 3,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 1,653.75 = 1,653.75 : x
  2. Step 2: Convert to fraction form
    766.13/1,653.75 = 1,653.75/x
  3. Step 3: Cross multiply
    766.13x = 1,653.75 × 1,653.75
  4. Step 4: Simplify right side
    766.13x = 2,734,889.06
  5. Step 5: Solve for x
    x = 2,734,889.06/766.13
  6. Step 6: Final answer
    x = 3,569.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.