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Finding the Third Proportional to 4,773.52 and 10,488.09

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Solution

The third proportional to 4,773.52 and 10,488.09 is: 23,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.52 : 10,488.09 = 10,488.09 : x
  2. Step 2: Convert to fraction form
    4,773.52/10,488.09 = 10,488.09/x
  3. Step 3: Cross multiply
    4,773.52x = 10,488.09 × 10,488.09
  4. Step 4: Simplify right side
    4,773.52x = 110,000,110.51
  5. Step 5: Solve for x
    x = 110,000,110.51/4,773.52
  6. Step 6: Final answer
    x = 23,043.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.