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Finding the Third Proportional to 16,135 and 24,029

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Solution

The third proportional to 16,135 and 24,029 is: 35,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135 : 24,029 = 24,029 : x
  2. Step 2: Convert to fraction form
    16,135/24,029 = 24,029/x
  3. Step 3: Cross multiply
    16,135x = 24,029 × 24,029
  4. Step 4: Simplify right side
    16,135x = 577,392,841
  5. Step 5: Solve for x
    x = 577,392,841/16,135
  6. Step 6: Final answer
    x = 35,785.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.