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Finding the Third Proportional to 903.56 and 1,972.56

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Solution

The third proportional to 903.56 and 1,972.56 is: 4,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.56 : 1,972.56 = 1,972.56 : x
  2. Step 2: Convert to fraction form
    903.56/1,972.56 = 1,972.56/x
  3. Step 3: Cross multiply
    903.56x = 1,972.56 × 1,972.56
  4. Step 4: Simplify right side
    903.56x = 3,891,002.82
  5. Step 5: Solve for x
    x = 3,891,002.82/903.56
  6. Step 6: Final answer
    x = 4,306.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.