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Finding the Third Proportional to 31,611.30 and 48,943.62

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Solution

The third proportional to 31,611.30 and 48,943.62 is: 75,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.30 : 48,943.62 = 48,943.62 : x
  2. Step 2: Convert to fraction form
    31,611.30/48,943.62 = 48,943.62/x
  3. Step 3: Cross multiply
    31,611.30x = 48,943.62 × 48,943.62
  4. Step 4: Simplify right side
    31,611.30x = 2,395,477,663.40
  5. Step 5: Solve for x
    x = 2,395,477,663.40/31,611.30
  6. Step 6: Final answer
    x = 75,779.15

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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.