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Finding the Third Proportional to 972.56 and 2,001.66

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Solution

The third proportional to 972.56 and 2,001.66 is: 4,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.56 : 2,001.66 = 2,001.66 : x
  2. Step 2: Convert to fraction form
    972.56/2,001.66 = 2,001.66/x
  3. Step 3: Cross multiply
    972.56x = 2,001.66 × 2,001.66
  4. Step 4: Simplify right side
    972.56x = 4,006,627.74
  5. Step 5: Solve for x
    x = 4,006,627.74/972.56
  6. Step 6: Final answer
    x = 4,119.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.