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Finding the Third Proportional to 31,420.41 and 48,531.66

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Solution

The third proportional to 31,420.41 and 48,531.66 is: 74,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.41 : 48,531.66 = 48,531.66 : x
  2. Step 2: Convert to fraction form
    31,420.41/48,531.66 = 48,531.66/x
  3. Step 3: Cross multiply
    31,420.41x = 48,531.66 × 48,531.66
  4. Step 4: Simplify right side
    31,420.41x = 2,355,321,658.37
  5. Step 5: Solve for x
    x = 2,355,321,658.37/31,420.41
  6. Step 6: Final answer
    x = 74,961.53

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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.