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Finding the Third Proportional to 49,497.19 and 65,634.19

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Solution

The third proportional to 49,497.19 and 65,634.19 is: 87,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497.19 : 65,634.19 = 65,634.19 : x
  2. Step 2: Convert to fraction form
    49,497.19/65,634.19 = 65,634.19/x
  3. Step 3: Cross multiply
    49,497.19x = 65,634.19 × 65,634.19
  4. Step 4: Simplify right side
    49,497.19x = 4,307,846,568.79
  5. Step 5: Solve for x
    x = 4,307,846,568.79/49,497.19
  6. Step 6: Final answer
    x = 87,032.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.