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Finding the Third Proportional to 10,066.50 and 15,108.75

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Solution

The third proportional to 10,066.50 and 15,108.75 is: 22,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.50 : 15,108.75 = 15,108.75 : x
  2. Step 2: Convert to fraction form
    10,066.50/15,108.75 = 15,108.75/x
  3. Step 3: Cross multiply
    10,066.50x = 15,108.75 × 15,108.75
  4. Step 4: Simplify right side
    10,066.50x = 228,274,326.56
  5. Step 5: Solve for x
    x = 228,274,326.56/10,066.50
  6. Step 6: Final answer
    x = 22,676.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.