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Finding the Third Proportional to 48,782.25 and 71,320.50

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Solution

The third proportional to 48,782.25 and 71,320.50 is: 104,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782.25 : 71,320.50 = 71,320.50 : x
  2. Step 2: Convert to fraction form
    48,782.25/71,320.50 = 71,320.50/x
  3. Step 3: Cross multiply
    48,782.25x = 71,320.50 × 71,320.50
  4. Step 4: Simplify right side
    48,782.25x = 5,086,613,720.25
  5. Step 5: Solve for x
    x = 5,086,613,720.25/48,782.25
  6. Step 6: Final answer
    x = 104,271.81

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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.