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Finding the Third Proportional to 8,032.50 and 15,063.75

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Solution

The third proportional to 8,032.50 and 15,063.75 is: 28,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.50 : 15,063.75 = 15,063.75 : x
  2. Step 2: Convert to fraction form
    8,032.50/15,063.75 = 15,063.75/x
  3. Step 3: Cross multiply
    8,032.50x = 15,063.75 × 15,063.75
  4. Step 4: Simplify right side
    8,032.50x = 226,916,564.06
  5. Step 5: Solve for x
    x = 226,916,564.06/8,032.50
  6. Step 6: Final answer
    x = 28,249.81

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.