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Finding the Third Proportional to 22,844.53 and 34,266.80

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Solution

The third proportional to 22,844.53 and 34,266.80 is: 51,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.53 : 34,266.80 = 34,266.80 : x
  2. Step 2: Convert to fraction form
    22,844.53/34,266.80 = 34,266.80/x
  3. Step 3: Cross multiply
    22,844.53x = 34,266.80 × 34,266.80
  4. Step 4: Simplify right side
    22,844.53x = 1,174,213,368.07
  5. Step 5: Solve for x
    x = 1,174,213,368.07/22,844.53
  6. Step 6: Final answer
    x = 51,400.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.