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Finding the Third Proportional to 21,330 and 49,587

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Solution

The third proportional to 21,330 and 49,587 is: 115,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330 : 49,587 = 49,587 : x
  2. Step 2: Convert to fraction form
    21,330/49,587 = 49,587/x
  3. Step 3: Cross multiply
    21,330x = 49,587 × 49,587
  4. Step 4: Simplify right side
    21,330x = 2,458,870,569
  5. Step 5: Solve for x
    x = 2,458,870,569/21,330
  6. Step 6: Final answer
    x = 115,277.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.