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Finding the Third Proportional to 37,005.75 and 54,937.13

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Solution

The third proportional to 37,005.75 and 54,937.13 is: 81,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,005.75 : 54,937.13 = 54,937.13 : x
  2. Step 2: Convert to fraction form
    37,005.75/54,937.13 = 54,937.13/x
  3. Step 3: Cross multiply
    37,005.75x = 54,937.13 × 54,937.13
  4. Step 4: Simplify right side
    37,005.75x = 3,018,087,703.27
  5. Step 5: Solve for x
    x = 3,018,087,703.27/37,005.75
  6. Step 6: Final answer
    x = 81,557.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.