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Finding the Third Proportional to 4,561.95 and 7,150.46

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Solution

The third proportional to 4,561.95 and 7,150.46 is: 11,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.95 : 7,150.46 = 7,150.46 : x
  2. Step 2: Convert to fraction form
    4,561.95/7,150.46 = 7,150.46/x
  3. Step 3: Cross multiply
    4,561.95x = 7,150.46 × 7,150.46
  4. Step 4: Simplify right side
    4,561.95x = 51,129,147.48
  5. Step 5: Solve for x
    x = 51,129,147.48/4,561.95
  6. Step 6: Final answer
    x = 11,207.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.