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Finding the Third Proportional to 22,014.28 and 34,156.69

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Solution

The third proportional to 22,014.28 and 34,156.69 is: 52,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.28 : 34,156.69 = 34,156.69 : x
  2. Step 2: Convert to fraction form
    22,014.28/34,156.69 = 34,156.69/x
  3. Step 3: Cross multiply
    22,014.28x = 34,156.69 × 34,156.69
  4. Step 4: Simplify right side
    22,014.28x = 1,166,679,300.97
  5. Step 5: Solve for x
    x = 1,166,679,300.97/22,014.28
  6. Step 6: Final answer
    x = 52,996.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.