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Finding the Third Proportional to 31,290.05 and 48,524.06

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Solution

The third proportional to 31,290.05 and 48,524.06 is: 75,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.05 : 48,524.06 = 48,524.06 : x
  2. Step 2: Convert to fraction form
    31,290.05/48,524.06 = 48,524.06/x
  3. Step 3: Cross multiply
    31,290.05x = 48,524.06 × 48,524.06
  4. Step 4: Simplify right side
    31,290.05x = 2,354,584,641.50
  5. Step 5: Solve for x
    x = 2,354,584,641.50/31,290.05
  6. Step 6: Final answer
    x = 75,250.28

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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.