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Finding the Third Proportional to 4,352.63 and 6,630.94

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Solution

The third proportional to 4,352.63 and 6,630.94 is: 10,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.63 : 6,630.94 = 6,630.94 : x
  2. Step 2: Convert to fraction form
    4,352.63/6,630.94 = 6,630.94/x
  3. Step 3: Cross multiply
    4,352.63x = 6,630.94 × 6,630.94
  4. Step 4: Simplify right side
    4,352.63x = 43,969,332.13
  5. Step 5: Solve for x
    x = 43,969,332.13/4,352.63
  6. Step 6: Final answer
    x = 10,101.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.