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Finding the Third Proportional to 37,248 and 81,046.50

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Solution

The third proportional to 37,248 and 81,046.50 is: 176,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,248 : 81,046.50 = 81,046.50 : x
  2. Step 2: Convert to fraction form
    37,248/81,046.50 = 81,046.50/x
  3. Step 3: Cross multiply
    37,248x = 81,046.50 × 81,046.50
  4. Step 4: Simplify right side
    37,248x = 6,568,535,162.25
  5. Step 5: Solve for x
    x = 6,568,535,162.25/37,248
  6. Step 6: Final answer
    x = 176,345.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.