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Finding the Third Proportional to 4,000.22 and 5,897.39

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Solution

The third proportional to 4,000.22 and 5,897.39 is: 8,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.22 : 5,897.39 = 5,897.39 : x
  2. Step 2: Convert to fraction form
    4,000.22/5,897.39 = 5,897.39/x
  3. Step 3: Cross multiply
    4,000.22x = 5,897.39 × 5,897.39
  4. Step 4: Simplify right side
    4,000.22x = 34,779,216.18
  5. Step 5: Solve for x
    x = 34,779,216.18/4,000.22
  6. Step 6: Final answer
    x = 8,694.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.