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Finding the Third Proportional to 33,247.13 and 49,894.50

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Solution

The third proportional to 33,247.13 and 49,894.50 is: 74,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247.13 : 49,894.50 = 49,894.50 : x
  2. Step 2: Convert to fraction form
    33,247.13/49,894.50 = 49,894.50/x
  3. Step 3: Cross multiply
    33,247.13x = 49,894.50 × 49,894.50
  4. Step 4: Simplify right side
    33,247.13x = 2,489,461,130.25
  5. Step 5: Solve for x
    x = 2,489,461,130.25/33,247.13
  6. Step 6: Final answer
    x = 74,877.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.