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Finding the Third Proportional to 49,658.06 and 75,975.47

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Solution

The third proportional to 49,658.06 and 75,975.47 is: 116,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,658.06 : 75,975.47 = 75,975.47 : x
  2. Step 2: Convert to fraction form
    49,658.06/75,975.47 = 75,975.47/x
  3. Step 3: Cross multiply
    49,658.06x = 75,975.47 × 75,975.47
  4. Step 4: Simplify right side
    49,658.06x = 5,772,271,851.78
  5. Step 5: Solve for x
    x = 5,772,271,851.78/49,658.06
  6. Step 6: Final answer
    x = 116,240.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.