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Finding the Third Proportional to 49,217.63 and 75,664.13

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Solution

The third proportional to 49,217.63 and 75,664.13 is: 116,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,217.63 : 75,664.13 = 75,664.13 : x
  2. Step 2: Convert to fraction form
    49,217.63/75,664.13 = 75,664.13/x
  3. Step 3: Cross multiply
    49,217.63x = 75,664.13 × 75,664.13
  4. Step 4: Simplify right side
    49,217.63x = 5,725,059,812.02
  5. Step 5: Solve for x
    x = 5,725,059,812.02/49,217.63
  6. Step 6: Final answer
    x = 116,321.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.