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Finding the Third Proportional to 874.52 and 1,890.02

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Solution

The third proportional to 874.52 and 1,890.02 is: 4,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.52 : 1,890.02 = 1,890.02 : x
  2. Step 2: Convert to fraction form
    874.52/1,890.02 = 1,890.02/x
  3. Step 3: Cross multiply
    874.52x = 1,890.02 × 1,890.02
  4. Step 4: Simplify right side
    874.52x = 3,572,188.59
  5. Step 5: Solve for x
    x = 3,572,188.59/874.52
  6. Step 6: Final answer
    x = 4,084.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.