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Finding the Third Proportional to 10,111.29 and 15,308.37

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Solution

The third proportional to 10,111.29 and 15,308.37 is: 23,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.29 : 15,308.37 = 15,308.37 : x
  2. Step 2: Convert to fraction form
    10,111.29/15,308.37 = 15,308.37/x
  3. Step 3: Cross multiply
    10,111.29x = 15,308.37 × 15,308.37
  4. Step 4: Simplify right side
    10,111.29x = 234,346,105.95
  5. Step 5: Solve for x
    x = 234,346,105.95/10,111.29
  6. Step 6: Final answer
    x = 23,176.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.