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Finding the Third Proportional to 5,032.50 and 7,400.75

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Solution

The third proportional to 5,032.50 and 7,400.75 is: 10,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.50 : 7,400.75 = 7,400.75 : x
  2. Step 2: Convert to fraction form
    5,032.50/7,400.75 = 7,400.75/x
  3. Step 3: Cross multiply
    5,032.50x = 7,400.75 × 7,400.75
  4. Step 4: Simplify right side
    5,032.50x = 54,771,100.56
  5. Step 5: Solve for x
    x = 54,771,100.56/5,032.50
  6. Step 6: Final answer
    x = 10,883.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.