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Finding the Third Proportional to 9,747.75 and 14,690.88

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Solution

The third proportional to 9,747.75 and 14,690.88 is: 22,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.75 : 14,690.88 = 14,690.88 : x
  2. Step 2: Convert to fraction form
    9,747.75/14,690.88 = 14,690.88/x
  3. Step 3: Cross multiply
    9,747.75x = 14,690.88 × 14,690.88
  4. Step 4: Simplify right side
    9,747.75x = 215,821,808.27
  5. Step 5: Solve for x
    x = 215,821,808.27/9,747.75
  6. Step 6: Final answer
    x = 22,140.68

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