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Finding the Third Proportional to 30,726 and 48,228.75

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Solution

The third proportional to 30,726 and 48,228.75 is: 75,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726 : 48,228.75 = 48,228.75 : x
  2. Step 2: Convert to fraction form
    30,726/48,228.75 = 48,228.75/x
  3. Step 3: Cross multiply
    30,726x = 48,228.75 × 48,228.75
  4. Step 4: Simplify right side
    30,726x = 2,326,012,326.56
  5. Step 5: Solve for x
    x = 2,326,012,326.56/30,726
  6. Step 6: Final answer
    x = 75,701.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.