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Finding the Third Proportional to 22,724.25 and 48,607.50

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Solution

The third proportional to 22,724.25 and 48,607.50 is: 103,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.25 : 48,607.50 = 48,607.50 : x
  2. Step 2: Convert to fraction form
    22,724.25/48,607.50 = 48,607.50/x
  3. Step 3: Cross multiply
    22,724.25x = 48,607.50 × 48,607.50
  4. Step 4: Simplify right side
    22,724.25x = 2,362,689,056.25
  5. Step 5: Solve for x
    x = 2,362,689,056.25/22,724.25
  6. Step 6: Final answer
    x = 103,972.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.