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Finding the Third Proportional to 875.18 and 1,792.55

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Solution

The third proportional to 875.18 and 1,792.55 is: 3,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.18 : 1,792.55 = 1,792.55 : x
  2. Step 2: Convert to fraction form
    875.18/1,792.55 = 1,792.55/x
  3. Step 3: Cross multiply
    875.18x = 1,792.55 × 1,792.55
  4. Step 4: Simplify right side
    875.18x = 3,213,224.30
  5. Step 5: Solve for x
    x = 3,213,224.30/875.18
  6. Step 6: Final answer
    x = 3,671.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.