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Finding the Third Proportional to 47,548.50 and 73,585.50

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Solution

The third proportional to 47,548.50 and 73,585.50 is: 113,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,548.50 : 73,585.50 = 73,585.50 : x
  2. Step 2: Convert to fraction form
    47,548.50/73,585.50 = 73,585.50/x
  3. Step 3: Cross multiply
    47,548.50x = 73,585.50 × 73,585.50
  4. Step 4: Simplify right side
    47,548.50x = 5,414,825,810.25
  5. Step 5: Solve for x
    x = 5,414,825,810.25/47,548.50
  6. Step 6: Final answer
    x = 113,880.06

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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.