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Finding the Third Proportional to 6,003.47 and 9,645.94

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Solution

The third proportional to 6,003.47 and 9,645.94 is: 15,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.47 : 9,645.94 = 9,645.94 : x
  2. Step 2: Convert to fraction form
    6,003.47/9,645.94 = 9,645.94/x
  3. Step 3: Cross multiply
    6,003.47x = 9,645.94 × 9,645.94
  4. Step 4: Simplify right side
    6,003.47x = 93,044,110.25
  5. Step 5: Solve for x
    x = 93,044,110.25/6,003.47
  6. Step 6: Final answer
    x = 15,498.39

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.