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Finding the Third Proportional to 972.56 and 2,034.56

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Solution

The third proportional to 972.56 and 2,034.56 is: 4,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.56 : 2,034.56 = 2,034.56 : x
  2. Step 2: Convert to fraction form
    972.56/2,034.56 = 2,034.56/x
  3. Step 3: Cross multiply
    972.56x = 2,034.56 × 2,034.56
  4. Step 4: Simplify right side
    972.56x = 4,139,444.57
  5. Step 5: Solve for x
    x = 4,139,444.57/972.56
  6. Step 6: Final answer
    x = 4,256.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.