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Finding the Third Proportional to 1,856.43 and 2,775.28

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Solution

The third proportional to 1,856.43 and 2,775.28 is: 4,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.43 : 2,775.28 = 2,775.28 : x
  2. Step 2: Convert to fraction form
    1,856.43/2,775.28 = 2,775.28/x
  3. Step 3: Cross multiply
    1,856.43x = 2,775.28 × 2,775.28
  4. Step 4: Simplify right side
    1,856.43x = 7,702,169.76
  5. Step 5: Solve for x
    x = 7,702,169.76/1,856.43
  6. Step 6: Final answer
    x = 4,148.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.