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Finding the Third Proportional to 972.56 and 2,023.88

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Solution

The third proportional to 972.56 and 2,023.88 is: 4,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.56 : 2,023.88 = 2,023.88 : x
  2. Step 2: Convert to fraction form
    972.56/2,023.88 = 2,023.88/x
  3. Step 3: Cross multiply
    972.56x = 2,023.88 × 2,023.88
  4. Step 4: Simplify right side
    972.56x = 4,096,070.02
  5. Step 5: Solve for x
    x = 4,096,070.02/972.56
  6. Step 6: Final answer
    x = 4,211.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.