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Finding the Third Proportional to 16,032.94 and 25,066.97

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Solution

The third proportional to 16,032.94 and 25,066.97 is: 39,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.94 : 25,066.97 = 25,066.97 : x
  2. Step 2: Convert to fraction form
    16,032.94/25,066.97 = 25,066.97/x
  3. Step 3: Cross multiply
    16,032.94x = 25,066.97 × 25,066.97
  4. Step 4: Simplify right side
    16,032.94x = 628,352,922.31
  5. Step 5: Solve for x
    x = 628,352,922.31/16,032.94
  6. Step 6: Final answer
    x = 39,191.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.