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Finding the Third Proportional to 30,409.25 and 48,424.50

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Solution

The third proportional to 30,409.25 and 48,424.50 is: 77,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.25 : 48,424.50 = 48,424.50 : x
  2. Step 2: Convert to fraction form
    30,409.25/48,424.50 = 48,424.50/x
  3. Step 3: Cross multiply
    30,409.25x = 48,424.50 × 48,424.50
  4. Step 4: Simplify right side
    30,409.25x = 2,344,932,200.25
  5. Step 5: Solve for x
    x = 2,344,932,200.25/30,409.25
  6. Step 6: Final answer
    x = 77,112.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.