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Finding the Third Proportional to 5,841.38 and 9,059.63

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Solution

The third proportional to 5,841.38 and 9,059.63 is: 14,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.38 : 9,059.63 = 9,059.63 : x
  2. Step 2: Convert to fraction form
    5,841.38/9,059.63 = 9,059.63/x
  3. Step 3: Cross multiply
    5,841.38x = 9,059.63 × 9,059.63
  4. Step 4: Simplify right side
    5,841.38x = 82,076,805.14
  5. Step 5: Solve for x
    x = 82,076,805.14/5,841.38
  6. Step 6: Final answer
    x = 14,050.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.