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Finding the Third Proportional to 753.38 and 1,225.50

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Solution

The third proportional to 753.38 and 1,225.50 is: 1,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.38 : 1,225.50 = 1,225.50 : x
  2. Step 2: Convert to fraction form
    753.38/1,225.50 = 1,225.50/x
  3. Step 3: Cross multiply
    753.38x = 1,225.50 × 1,225.50
  4. Step 4: Simplify right side
    753.38x = 1,501,850.25
  5. Step 5: Solve for x
    x = 1,501,850.25/753.38
  6. Step 6: Final answer
    x = 1,993.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.