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Finding the Third Proportional to 22,048.88 and 34,232.63

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Solution

The third proportional to 22,048.88 and 34,232.63 is: 53,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.88 : 34,232.63 = 34,232.63 : x
  2. Step 2: Convert to fraction form
    22,048.88/34,232.63 = 34,232.63/x
  3. Step 3: Cross multiply
    22,048.88x = 34,232.63 × 34,232.63
  4. Step 4: Simplify right side
    22,048.88x = 1,171,872,614.39
  5. Step 5: Solve for x
    x = 1,171,872,614.39/22,048.88
  6. Step 6: Final answer
    x = 53,148.86

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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.