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Finding the Third Proportional to 37,383 and 55,534.13

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Solution

The third proportional to 37,383 and 55,534.13 is: 82,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,383 : 55,534.13 = 55,534.13 : x
  2. Step 2: Convert to fraction form
    37,383/55,534.13 = 55,534.13/x
  3. Step 3: Cross multiply
    37,383x = 55,534.13 × 55,534.13
  4. Step 4: Simplify right side
    37,383x = 3,084,039,039.52
  5. Step 5: Solve for x
    x = 3,084,039,039.52/37,383
  6. Step 6: Final answer
    x = 82,498.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.