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Finding the Third Proportional to 1,858.10 and 2,882.18

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Solution

The third proportional to 1,858.10 and 2,882.18 is: 4,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.10 : 2,882.18 = 2,882.18 : x
  2. Step 2: Convert to fraction form
    1,858.10/2,882.18 = 2,882.18/x
  3. Step 3: Cross multiply
    1,858.10x = 2,882.18 × 2,882.18
  4. Step 4: Simplify right side
    1,858.10x = 8,306,985.08
  5. Step 5: Solve for x
    x = 8,306,985.08/1,858.10
  6. Step 6: Final answer
    x = 4,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.