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Finding the Third Proportional to 934.13 and 2,032.69

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Solution

The third proportional to 934.13 and 2,032.69 is: 4,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.13 : 2,032.69 = 2,032.69 : x
  2. Step 2: Convert to fraction form
    934.13/2,032.69 = 2,032.69/x
  3. Step 3: Cross multiply
    934.13x = 2,032.69 × 2,032.69
  4. Step 4: Simplify right side
    934.13x = 4,131,818.47
  5. Step 5: Solve for x
    x = 4,131,818.47/934.13
  6. Step 6: Final answer
    x = 4,423.20

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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.