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Finding the Third Proportional to 31,848.19 and 69,232.22

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Solution

The third proportional to 31,848.19 and 69,232.22 is: 150,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848.19 : 69,232.22 = 69,232.22 : x
  2. Step 2: Convert to fraction form
    31,848.19/69,232.22 = 69,232.22/x
  3. Step 3: Cross multiply
    31,848.19x = 69,232.22 × 69,232.22
  4. Step 4: Simplify right side
    31,848.19x = 4,793,100,113.05
  5. Step 5: Solve for x
    x = 4,793,100,113.05/31,848.19
  6. Step 6: Final answer
    x = 150,498.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.