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Finding the Third Proportional to 21,925.69 and 32,067.56

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Solution

The third proportional to 21,925.69 and 32,067.56 is: 46,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,925.69 : 32,067.56 = 32,067.56 : x
  2. Step 2: Convert to fraction form
    21,925.69/32,067.56 = 32,067.56/x
  3. Step 3: Cross multiply
    21,925.69x = 32,067.56 × 32,067.56
  4. Step 4: Simplify right side
    21,925.69x = 1,028,328,564.69
  5. Step 5: Solve for x
    x = 1,028,328,564.69/21,925.69
  6. Step 6: Final answer
    x = 46,900.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.