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Finding the Third Proportional to 37,980 and 87,925.50

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Solution

The third proportional to 37,980 and 87,925.50 is: 203,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980 : 87,925.50 = 87,925.50 : x
  2. Step 2: Convert to fraction form
    37,980/87,925.50 = 87,925.50/x
  3. Step 3: Cross multiply
    37,980x = 87,925.50 × 87,925.50
  4. Step 4: Simplify right side
    37,980x = 7,730,893,550.25
  5. Step 5: Solve for x
    x = 7,730,893,550.25/37,980
  6. Step 6: Final answer
    x = 203,551.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.