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Finding the Third Proportional to 1,856.67 and 4,059.70

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Solution

The third proportional to 1,856.67 and 4,059.70 is: 8,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.67 : 4,059.70 = 4,059.70 : x
  2. Step 2: Convert to fraction form
    1,856.67/4,059.70 = 4,059.70/x
  3. Step 3: Cross multiply
    1,856.67x = 4,059.70 × 4,059.70
  4. Step 4: Simplify right side
    1,856.67x = 16,481,189.46
  5. Step 5: Solve for x
    x = 16,481,189.46/1,856.67
  6. Step 6: Final answer
    x = 8,876.74

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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.