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Finding the Third Proportional to 32,356.69 and 69,211.69

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Solution

The third proportional to 32,356.69 and 69,211.69 is: 148,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,356.69 : 69,211.69 = 69,211.69 : x
  2. Step 2: Convert to fraction form
    32,356.69/69,211.69 = 69,211.69/x
  3. Step 3: Cross multiply
    32,356.69x = 69,211.69 × 69,211.69
  4. Step 4: Simplify right side
    32,356.69x = 4,790,257,686.60
  5. Step 5: Solve for x
    x = 4,790,257,686.60/32,356.69
  6. Step 6: Final answer
    x = 148,045.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.