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Finding the Third Proportional to 6,712.88 and 15,111.56

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Solution

The third proportional to 6,712.88 and 15,111.56 is: 34,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.88 : 15,111.56 = 15,111.56 : x
  2. Step 2: Convert to fraction form
    6,712.88/15,111.56 = 15,111.56/x
  3. Step 3: Cross multiply
    6,712.88x = 15,111.56 × 15,111.56
  4. Step 4: Simplify right side
    6,712.88x = 228,359,321.19
  5. Step 5: Solve for x
    x = 228,359,321.19/6,712.88
  6. Step 6: Final answer
    x = 34,018.11

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.