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Finding the Third Proportional to 1,164.50 and 1,472.75

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Solution

The third proportional to 1,164.50 and 1,472.75 is: 1,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.50 : 1,472.75 = 1,472.75 : x
  2. Step 2: Convert to fraction form
    1,164.50/1,472.75 = 1,472.75/x
  3. Step 3: Cross multiply
    1,164.50x = 1,472.75 × 1,472.75
  4. Step 4: Simplify right side
    1,164.50x = 2,168,992.56
  5. Step 5: Solve for x
    x = 2,168,992.56/1,164.50
  6. Step 6: Final answer
    x = 1,862.60

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.