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Finding the Third Proportional to 874.76 and 1,913.20

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Solution

The third proportional to 874.76 and 1,913.20 is: 4,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.76 : 1,913.20 = 1,913.20 : x
  2. Step 2: Convert to fraction form
    874.76/1,913.20 = 1,913.20/x
  3. Step 3: Cross multiply
    874.76x = 1,913.20 × 1,913.20
  4. Step 4: Simplify right side
    874.76x = 3,660,346.20
  5. Step 5: Solve for x
    x = 3,660,346.20/874.76
  6. Step 6: Final answer
    x = 4,184.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.