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Finding the Third Proportional to 926.81 and 1,957.69

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Solution

The third proportional to 926.81 and 1,957.69 is: 4,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.81 : 1,957.69 = 1,957.69 : x
  2. Step 2: Convert to fraction form
    926.81/1,957.69 = 1,957.69/x
  3. Step 3: Cross multiply
    926.81x = 1,957.69 × 1,957.69
  4. Step 4: Simplify right side
    926.81x = 3,832,540.35
  5. Step 5: Solve for x
    x = 3,832,540.35/926.81
  6. Step 6: Final answer
    x = 4,135.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.