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Finding the Third Proportional to 33,580 and 49,396

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Solution

The third proportional to 33,580 and 49,396 is: 72,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,580 : 49,396 = 49,396 : x
  2. Step 2: Convert to fraction form
    33,580/49,396 = 49,396/x
  3. Step 3: Cross multiply
    33,580x = 49,396 × 49,396
  4. Step 4: Simplify right side
    33,580x = 2,439,964,816
  5. Step 5: Solve for x
    x = 2,439,964,816/33,580
  6. Step 6: Final answer
    x = 72,661.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.