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Finding the Third Proportional to 5,897.39 and 8,013.94

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Solution

The third proportional to 5,897.39 and 8,013.94 is: 10,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.39 : 8,013.94 = 8,013.94 : x
  2. Step 2: Convert to fraction form
    5,897.39/8,013.94 = 8,013.94/x
  3. Step 3: Cross multiply
    5,897.39x = 8,013.94 × 8,013.94
  4. Step 4: Simplify right side
    5,897.39x = 64,223,194.25
  5. Step 5: Solve for x
    x = 64,223,194.25/5,897.39
  6. Step 6: Final answer
    x = 10,890.10

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.