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Finding the Third Proportional to 32,668.31 and 70,821.21

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Solution

The third proportional to 32,668.31 and 70,821.21 is: 153,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,668.31 : 70,821.21 = 70,821.21 : x
  2. Step 2: Convert to fraction form
    32,668.31/70,821.21 = 70,821.21/x
  3. Step 3: Cross multiply
    32,668.31x = 70,821.21 × 70,821.21
  4. Step 4: Simplify right side
    32,668.31x = 5,015,643,918.65
  5. Step 5: Solve for x
    x = 5,015,643,918.65/32,668.31
  6. Step 6: Final answer
    x = 153,532.38

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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.