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Finding the Third Proportional to 5,897.81 and 9,205.31

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Solution

The third proportional to 5,897.81 and 9,205.31 is: 14,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.81 : 9,205.31 = 9,205.31 : x
  2. Step 2: Convert to fraction form
    5,897.81/9,205.31 = 9,205.31/x
  3. Step 3: Cross multiply
    5,897.81x = 9,205.31 × 9,205.31
  4. Step 4: Simplify right side
    5,897.81x = 84,737,778.22
  5. Step 5: Solve for x
    x = 84,737,778.22/5,897.81
  6. Step 6: Final answer
    x = 14,367.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.