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Finding the Third Proportional to 985.92 and 2,125.55

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Solution

The third proportional to 985.92 and 2,125.55 is: 4,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.92 : 2,125.55 = 2,125.55 : x
  2. Step 2: Convert to fraction form
    985.92/2,125.55 = 2,125.55/x
  3. Step 3: Cross multiply
    985.92x = 2,125.55 × 2,125.55
  4. Step 4: Simplify right side
    985.92x = 4,517,949.52
  5. Step 5: Solve for x
    x = 4,517,949.52/985.92
  6. Step 6: Final answer
    x = 4,582.46

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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.