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Finding the Third Proportional to 932.27 and 2,030.98

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Solution

The third proportional to 932.27 and 2,030.98 is: 4,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.27 : 2,030.98 = 2,030.98 : x
  2. Step 2: Convert to fraction form
    932.27/2,030.98 = 2,030.98/x
  3. Step 3: Cross multiply
    932.27x = 2,030.98 × 2,030.98
  4. Step 4: Simplify right side
    932.27x = 4,124,865.80
  5. Step 5: Solve for x
    x = 4,124,865.80/932.27
  6. Step 6: Final answer
    x = 4,424.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.