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Finding the Third Proportional to 7,677.28 and 11,595.66

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Solution

The third proportional to 7,677.28 and 11,595.66 is: 17,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.28 : 11,595.66 = 11,595.66 : x
  2. Step 2: Convert to fraction form
    7,677.28/11,595.66 = 11,595.66/x
  3. Step 3: Cross multiply
    7,677.28x = 11,595.66 × 11,595.66
  4. Step 4: Simplify right side
    7,677.28x = 134,459,243.87
  5. Step 5: Solve for x
    x = 134,459,243.87/7,677.28
  6. Step 6: Final answer
    x = 17,513.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.