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Finding the Third Proportional to 3,436.41 and 7,498.59

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Solution

The third proportional to 3,436.41 and 7,498.59 is: 16,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.41 : 7,498.59 = 7,498.59 : x
  2. Step 2: Convert to fraction form
    3,436.41/7,498.59 = 7,498.59/x
  3. Step 3: Cross multiply
    3,436.41x = 7,498.59 × 7,498.59
  4. Step 4: Simplify right side
    3,436.41x = 56,228,864.29
  5. Step 5: Solve for x
    x = 56,228,864.29/3,436.41
  6. Step 6: Final answer
    x = 16,362.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.