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Finding the Third Proportional to 9,792.56 and 23,669.72

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Solution

The third proportional to 9,792.56 and 23,669.72 is: 57,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.56 : 23,669.72 = 23,669.72 : x
  2. Step 2: Convert to fraction form
    9,792.56/23,669.72 = 23,669.72/x
  3. Step 3: Cross multiply
    9,792.56x = 23,669.72 × 23,669.72
  4. Step 4: Simplify right side
    9,792.56x = 560,255,585.70
  5. Step 5: Solve for x
    x = 560,255,585.70/9,792.56
  6. Step 6: Final answer
    x = 57,212.36

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.