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Finding the Third Proportional to 30,867.75 and 49,339.13

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Solution

The third proportional to 30,867.75 and 49,339.13 is: 78,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.75 : 49,339.13 = 49,339.13 : x
  2. Step 2: Convert to fraction form
    30,867.75/49,339.13 = 49,339.13/x
  3. Step 3: Cross multiply
    30,867.75x = 49,339.13 × 49,339.13
  4. Step 4: Simplify right side
    30,867.75x = 2,434,349,255.77
  5. Step 5: Solve for x
    x = 2,434,349,255.77/30,867.75
  6. Step 6: Final answer
    x = 78,863.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.