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Finding the Third Proportional to 32,319 and 69,816.94

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Solution

The third proportional to 32,319 and 69,816.94 is: 150,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319 : 69,816.94 = 69,816.94 : x
  2. Step 2: Convert to fraction form
    32,319/69,816.94 = 69,816.94/x
  3. Step 3: Cross multiply
    32,319x = 69,816.94 × 69,816.94
  4. Step 4: Simplify right side
    32,319x = 4,874,404,761.88
  5. Step 5: Solve for x
    x = 4,874,404,761.88/32,319
  6. Step 6: Final answer
    x = 150,821.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.