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Finding the Third Proportional to 1,922.38 and 3,011.66

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Solution

The third proportional to 1,922.38 and 3,011.66 is: 4,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.38 : 3,011.66 = 3,011.66 : x
  2. Step 2: Convert to fraction form
    1,922.38/3,011.66 = 3,011.66/x
  3. Step 3: Cross multiply
    1,922.38x = 3,011.66 × 3,011.66
  4. Step 4: Simplify right side
    1,922.38x = 9,070,096.90
  5. Step 5: Solve for x
    x = 9,070,096.90/1,922.38
  6. Step 6: Final answer
    x = 4,718.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.