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Finding the Third Proportional to 48,448.13 and 61,190.44

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Solution

The third proportional to 48,448.13 and 61,190.44 is: 77,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448.13 : 61,190.44 = 61,190.44 : x
  2. Step 2: Convert to fraction form
    48,448.13/61,190.44 = 61,190.44/x
  3. Step 3: Cross multiply
    48,448.13x = 61,190.44 × 61,190.44
  4. Step 4: Simplify right side
    48,448.13x = 3,744,269,641.44
  5. Step 5: Solve for x
    x = 3,744,269,641.44/48,448.13
  6. Step 6: Final answer
    x = 77,284.10

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.