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Finding the Third Proportional to 875.65 and 1,849.55

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Solution

The third proportional to 875.65 and 1,849.55 is: 3,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.65 : 1,849.55 = 1,849.55 : x
  2. Step 2: Convert to fraction form
    875.65/1,849.55 = 1,849.55/x
  3. Step 3: Cross multiply
    875.65x = 1,849.55 × 1,849.55
  4. Step 4: Simplify right side
    875.65x = 3,420,845.32
  5. Step 5: Solve for x
    x = 3,420,845.32/875.65
  6. Step 6: Final answer
    x = 3,906.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.