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Finding the Third Proportional to 16,078.88 and 34,465.13

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Solution

The third proportional to 16,078.88 and 34,465.13 is: 73,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.88 : 34,465.13 = 34,465.13 : x
  2. Step 2: Convert to fraction form
    16,078.88/34,465.13 = 34,465.13/x
  3. Step 3: Cross multiply
    16,078.88x = 34,465.13 × 34,465.13
  4. Step 4: Simplify right side
    16,078.88x = 1,187,844,841.27
  5. Step 5: Solve for x
    x = 1,187,844,841.27/16,078.88
  6. Step 6: Final answer
    x = 73,876.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.