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Finding the Third Proportional to 7,050.75 and 15,015.75

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Solution

The third proportional to 7,050.75 and 15,015.75 is: 31,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.75 : 15,015.75 = 15,015.75 : x
  2. Step 2: Convert to fraction form
    7,050.75/15,015.75 = 15,015.75/x
  3. Step 3: Cross multiply
    7,050.75x = 15,015.75 × 15,015.75
  4. Step 4: Simplify right side
    7,050.75x = 225,472,748.06
  5. Step 5: Solve for x
    x = 225,472,748.06/7,050.75
  6. Step 6: Final answer
    x = 31,978.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.