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Finding the Third Proportional to 2,856.75 and 4,340.63

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Solution

The third proportional to 2,856.75 and 4,340.63 is: 6,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.75 : 4,340.63 = 4,340.63 : x
  2. Step 2: Convert to fraction form
    2,856.75/4,340.63 = 4,340.63/x
  3. Step 3: Cross multiply
    2,856.75x = 4,340.63 × 4,340.63
  4. Step 4: Simplify right side
    2,856.75x = 18,841,025.39
  5. Step 5: Solve for x
    x = 18,841,025.39/2,856.75
  6. Step 6: Final answer
    x = 6,595.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.