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Finding the Third Proportional to 16,029 and 25,184.25

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Solution

The third proportional to 16,029 and 25,184.25 is: 39,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029 : 25,184.25 = 25,184.25 : x
  2. Step 2: Convert to fraction form
    16,029/25,184.25 = 25,184.25/x
  3. Step 3: Cross multiply
    16,029x = 25,184.25 × 25,184.25
  4. Step 4: Simplify right side
    16,029x = 634,246,448.06
  5. Step 5: Solve for x
    x = 634,246,448.06/16,029
  6. Step 6: Final answer
    x = 39,568.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.