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Finding the Third Proportional to 22,309.34 and 34,544.02

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Solution

The third proportional to 22,309.34 and 34,544.02 is: 53,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.34 : 34,544.02 = 34,544.02 : x
  2. Step 2: Convert to fraction form
    22,309.34/34,544.02 = 34,544.02/x
  3. Step 3: Cross multiply
    22,309.34x = 34,544.02 × 34,544.02
  4. Step 4: Simplify right side
    22,309.34x = 1,193,289,015.50
  5. Step 5: Solve for x
    x = 1,193,289,015.50/22,309.34
  6. Step 6: Final answer
    x = 53,488.31

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Why These Related Problems?

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