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Finding the Third Proportional to 32,868 and 53,400.38

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Solution

The third proportional to 32,868 and 53,400.38 is: 86,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868 : 53,400.38 = 53,400.38 : x
  2. Step 2: Convert to fraction form
    32,868/53,400.38 = 53,400.38/x
  3. Step 3: Cross multiply
    32,868x = 53,400.38 × 53,400.38
  4. Step 4: Simplify right side
    32,868x = 2,851,600,050.14
  5. Step 5: Solve for x
    x = 2,851,600,050.14/32,868
  6. Step 6: Final answer
    x = 86,759.16

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.