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Finding the Third Proportional to 23,142 and 49,928

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Solution

The third proportional to 23,142 and 49,928 is: 107,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142 : 49,928 = 49,928 : x
  2. Step 2: Convert to fraction form
    23,142/49,928 = 49,928/x
  3. Step 3: Cross multiply
    23,142x = 49,928 × 49,928
  4. Step 4: Simplify right side
    23,142x = 2,492,805,184
  5. Step 5: Solve for x
    x = 2,492,805,184/23,142
  6. Step 6: Final answer
    x = 107,717.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.