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Finding the Third Proportional to 23,382 and 49,569.75

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Solution

The third proportional to 23,382 and 49,569.75 is: 105,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382 : 49,569.75 = 49,569.75 : x
  2. Step 2: Convert to fraction form
    23,382/49,569.75 = 49,569.75/x
  3. Step 3: Cross multiply
    23,382x = 49,569.75 × 49,569.75
  4. Step 4: Simplify right side
    23,382x = 2,457,160,115.06
  5. Step 5: Solve for x
    x = 2,457,160,115.06/23,382
  6. Step 6: Final answer
    x = 105,087.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.