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Finding the Third Proportional to 9,699.75 and 12,924.56

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Solution

The third proportional to 9,699.75 and 12,924.56 is: 17,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.75 : 12,924.56 = 12,924.56 : x
  2. Step 2: Convert to fraction form
    9,699.75/12,924.56 = 12,924.56/x
  3. Step 3: Cross multiply
    9,699.75x = 12,924.56 × 12,924.56
  4. Step 4: Simplify right side
    9,699.75x = 167,044,315.82
  5. Step 5: Solve for x
    x = 167,044,315.82/9,699.75
  6. Step 6: Final answer
    x = 17,221.51

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.