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Finding the Third Proportional to 48,681.75 and 71,107.50

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Solution

The third proportional to 48,681.75 and 71,107.50 is: 103,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681.75 : 71,107.50 = 71,107.50 : x
  2. Step 2: Convert to fraction form
    48,681.75/71,107.50 = 71,107.50/x
  3. Step 3: Cross multiply
    48,681.75x = 71,107.50 × 71,107.50
  4. Step 4: Simplify right side
    48,681.75x = 5,056,276,556.25
  5. Step 5: Solve for x
    x = 5,056,276,556.25/48,681.75
  6. Step 6: Final answer
    x = 103,863.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.