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Finding the Third Proportional to 854.06 and 1,867.88

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Solution

The third proportional to 854.06 and 1,867.88 is: 4,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.06 : 1,867.88 = 1,867.88 : x
  2. Step 2: Convert to fraction form
    854.06/1,867.88 = 1,867.88/x
  3. Step 3: Cross multiply
    854.06x = 1,867.88 × 1,867.88
  4. Step 4: Simplify right side
    854.06x = 3,488,957.02
  5. Step 5: Solve for x
    x = 3,488,957.02/854.06
  6. Step 6: Final answer
    x = 4,085.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.