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Finding the Third Proportional to 37,108.88 and 75,513.75

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Solution

The third proportional to 37,108.88 and 75,513.75 is: 153,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,108.88 : 75,513.75 = 75,513.75 : x
  2. Step 2: Convert to fraction form
    37,108.88/75,513.75 = 75,513.75/x
  3. Step 3: Cross multiply
    37,108.88x = 75,513.75 × 75,513.75
  4. Step 4: Simplify right side
    37,108.88x = 5,702,326,439.06
  5. Step 5: Solve for x
    x = 5,702,326,439.06/37,108.88
  6. Step 6: Final answer
    x = 153,664.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.