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Finding the Third Proportional to 1,472.34 and 3,215.53

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Solution

The third proportional to 1,472.34 and 3,215.53 is: 7,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.34 : 3,215.53 = 3,215.53 : x
  2. Step 2: Convert to fraction form
    1,472.34/3,215.53 = 3,215.53/x
  3. Step 3: Cross multiply
    1,472.34x = 3,215.53 × 3,215.53
  4. Step 4: Simplify right side
    1,472.34x = 10,339,641.22
  5. Step 5: Solve for x
    x = 10,339,641.22/1,472.34
  6. Step 6: Final answer
    x = 7,022.57

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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.