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Finding the Third Proportional to 1,854.56 and 2,645.16

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Solution

The third proportional to 1,854.56 and 2,645.16 is: 3,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.56 : 2,645.16 = 2,645.16 : x
  2. Step 2: Convert to fraction form
    1,854.56/2,645.16 = 2,645.16/x
  3. Step 3: Cross multiply
    1,854.56x = 2,645.16 × 2,645.16
  4. Step 4: Simplify right side
    1,854.56x = 6,996,851.59
  5. Step 5: Solve for x
    x = 6,996,851.59/1,854.56
  6. Step 6: Final answer
    x = 3,772.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.