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Finding the Third Proportional to 5,086.13 and 10,929.09

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Solution

The third proportional to 5,086.13 and 10,929.09 is: 23,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.13 : 10,929.09 = 10,929.09 : x
  2. Step 2: Convert to fraction form
    5,086.13/10,929.09 = 10,929.09/x
  3. Step 3: Cross multiply
    5,086.13x = 10,929.09 × 10,929.09
  4. Step 4: Simplify right side
    5,086.13x = 119,445,090.20
  5. Step 5: Solve for x
    x = 119,445,090.20/5,086.13
  6. Step 6: Final answer
    x = 23,484.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.