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Finding the Third Proportional to 873.75 and 1,780.13

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Solution

The third proportional to 873.75 and 1,780.13 is: 3,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.75 : 1,780.13 = 1,780.13 : x
  2. Step 2: Convert to fraction form
    873.75/1,780.13 = 1,780.13/x
  3. Step 3: Cross multiply
    873.75x = 1,780.13 × 1,780.13
  4. Step 4: Simplify right side
    873.75x = 3,168,845.02
  5. Step 5: Solve for x
    x = 3,168,845.02/873.75
  6. Step 6: Final answer
    x = 3,626.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.