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Finding the Third Proportional to 1,345.78 and 2,854.41

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Solution

The third proportional to 1,345.78 and 2,854.41 is: 6,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.78 : 2,854.41 = 2,854.41 : x
  2. Step 2: Convert to fraction form
    1,345.78/2,854.41 = 2,854.41/x
  3. Step 3: Cross multiply
    1,345.78x = 2,854.41 × 2,854.41
  4. Step 4: Simplify right side
    1,345.78x = 8,147,635.04
  5. Step 5: Solve for x
    x = 8,147,635.04/1,345.78
  6. Step 6: Final answer
    x = 6,054.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.