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Finding the Third Proportional to 22,419.28 and 35,172.98

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Solution

The third proportional to 22,419.28 and 35,172.98 is: 55,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.28 : 35,172.98 = 35,172.98 : x
  2. Step 2: Convert to fraction form
    22,419.28/35,172.98 = 35,172.98/x
  3. Step 3: Cross multiply
    22,419.28x = 35,172.98 × 35,172.98
  4. Step 4: Simplify right side
    22,419.28x = 1,237,138,829.84
  5. Step 5: Solve for x
    x = 1,237,138,829.84/22,419.28
  6. Step 6: Final answer
    x = 55,181.91

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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.