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Finding the Third Proportional to 25,192.13 and 54,989.38

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Solution

The third proportional to 25,192.13 and 54,989.38 is: 120,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,192.13 : 54,989.38 = 54,989.38 : x
  2. Step 2: Convert to fraction form
    25,192.13/54,989.38 = 54,989.38/x
  3. Step 3: Cross multiply
    25,192.13x = 54,989.38 × 54,989.38
  4. Step 4: Simplify right side
    25,192.13x = 3,023,831,362.89
  5. Step 5: Solve for x
    x = 3,023,831,362.89/25,192.13
  6. Step 6: Final answer
    x = 120,030.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.