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Finding the Third Proportional to 16,026 and 34,135.50

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Solution

The third proportional to 16,026 and 34,135.50 is: 72,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026 : 34,135.50 = 34,135.50 : x
  2. Step 2: Convert to fraction form
    16,026/34,135.50 = 34,135.50/x
  3. Step 3: Cross multiply
    16,026x = 34,135.50 × 34,135.50
  4. Step 4: Simplify right side
    16,026x = 1,165,232,360.25
  5. Step 5: Solve for x
    x = 1,165,232,360.25/16,026
  6. Step 6: Final answer
    x = 72,708.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.