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Finding the Third Proportional to 8,656.88 and 9,927.56

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Solution

The third proportional to 8,656.88 and 9,927.56 is: 11,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.88 : 9,927.56 = 9,927.56 : x
  2. Step 2: Convert to fraction form
    8,656.88/9,927.56 = 9,927.56/x
  3. Step 3: Cross multiply
    8,656.88x = 9,927.56 × 9,927.56
  4. Step 4: Simplify right side
    8,656.88x = 98,556,497.19
  5. Step 5: Solve for x
    x = 98,556,497.19/8,656.88
  6. Step 6: Final answer
    x = 11,384.77

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.