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Finding the Third Proportional to 49,595.84 and 76,627.27

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Solution

The third proportional to 49,595.84 and 76,627.27 is: 118,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,595.84 : 76,627.27 = 76,627.27 : x
  2. Step 2: Convert to fraction form
    49,595.84/76,627.27 = 76,627.27/x
  3. Step 3: Cross multiply
    49,595.84x = 76,627.27 × 76,627.27
  4. Step 4: Simplify right side
    49,595.84x = 5,871,737,837.16
  5. Step 5: Solve for x
    x = 5,871,737,837.16/49,595.84
  6. Step 6: Final answer
    x = 118,391.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.