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Finding the Third Proportional to 8,907.75 and 9,727.88

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Solution

The third proportional to 8,907.75 and 9,727.88 is: 10,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.75 : 9,727.88 = 9,727.88 : x
  2. Step 2: Convert to fraction form
    8,907.75/9,727.88 = 9,727.88/x
  3. Step 3: Cross multiply
    8,907.75x = 9,727.88 × 9,727.88
  4. Step 4: Simplify right side
    8,907.75x = 94,631,552.02
  5. Step 5: Solve for x
    x = 94,631,552.02/8,907.75
  6. Step 6: Final answer
    x = 10,623.51

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.