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Finding the Third Proportional to 535.50 and 1,158.38

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Solution

The third proportional to 535.50 and 1,158.38 is: 2,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 1,158.38 = 1,158.38 : x
  2. Step 2: Convert to fraction form
    535.50/1,158.38 = 1,158.38/x
  3. Step 3: Cross multiply
    535.50x = 1,158.38 × 1,158.38
  4. Step 4: Simplify right side
    535.50x = 1,341,832.64
  5. Step 5: Solve for x
    x = 1,341,832.64/535.50
  6. Step 6: Final answer
    x = 2,505.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.