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Finding the Third Proportional to 37,853.44 and 55,018.13

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Solution

The third proportional to 37,853.44 and 55,018.13 is: 79,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,853.44 : 55,018.13 = 55,018.13 : x
  2. Step 2: Convert to fraction form
    37,853.44/55,018.13 = 55,018.13/x
  3. Step 3: Cross multiply
    37,853.44x = 55,018.13 × 55,018.13
  4. Step 4: Simplify right side
    37,853.44x = 3,026,994,078.52
  5. Step 5: Solve for x
    x = 3,026,994,078.52/37,853.44
  6. Step 6: Final answer
    x = 79,966.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.