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Finding the Third Proportional to 9,226.88 and 14,688.56

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Solution

The third proportional to 9,226.88 and 14,688.56 is: 23,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.88 : 14,688.56 = 14,688.56 : x
  2. Step 2: Convert to fraction form
    9,226.88/14,688.56 = 14,688.56/x
  3. Step 3: Cross multiply
    9,226.88x = 14,688.56 × 14,688.56
  4. Step 4: Simplify right side
    9,226.88x = 215,753,868.32
  5. Step 5: Solve for x
    x = 215,753,868.32/9,226.88
  6. Step 6: Final answer
    x = 23,383.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.