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Finding the Third Proportional to 932.77 and 2,032.59

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Solution

The third proportional to 932.77 and 2,032.59 is: 4,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.77 : 2,032.59 = 2,032.59 : x
  2. Step 2: Convert to fraction form
    932.77/2,032.59 = 2,032.59/x
  3. Step 3: Cross multiply
    932.77x = 2,032.59 × 2,032.59
  4. Step 4: Simplify right side
    932.77x = 4,131,437.35
  5. Step 5: Solve for x
    x = 4,131,437.35/932.77
  6. Step 6: Final answer
    x = 4,429.23

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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.