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Finding the Third Proportional to 23,252 and 49,784

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Solution

The third proportional to 23,252 and 49,784 is: 106,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252 : 49,784 = 49,784 : x
  2. Step 2: Convert to fraction form
    23,252/49,784 = 49,784/x
  3. Step 3: Cross multiply
    23,252x = 49,784 × 49,784
  4. Step 4: Simplify right side
    23,252x = 2,478,446,656
  5. Step 5: Solve for x
    x = 2,478,446,656/23,252
  6. Step 6: Final answer
    x = 106,590.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.