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Finding the Third Proportional to 49,019.63 and 75,731.63

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Solution

The third proportional to 49,019.63 and 75,731.63 is: 116,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,019.63 : 75,731.63 = 75,731.63 : x
  2. Step 2: Convert to fraction form
    49,019.63/75,731.63 = 75,731.63/x
  3. Step 3: Cross multiply
    49,019.63x = 75,731.63 × 75,731.63
  4. Step 4: Simplify right side
    49,019.63x = 5,735,279,025.14
  5. Step 5: Solve for x
    x = 5,735,279,025.14/49,019.63
  6. Step 6: Final answer
    x = 116,999.65

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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.