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Finding the Third Proportional to 15,577.31 and 34,268.38

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Solution

The third proportional to 15,577.31 and 34,268.38 is: 75,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.31 : 34,268.38 = 34,268.38 : x
  2. Step 2: Convert to fraction form
    15,577.31/34,268.38 = 34,268.38/x
  3. Step 3: Cross multiply
    15,577.31x = 34,268.38 × 34,268.38
  4. Step 4: Simplify right side
    15,577.31x = 1,174,321,792.86
  5. Step 5: Solve for x
    x = 1,174,321,792.86/15,577.31
  6. Step 6: Final answer
    x = 75,386.67

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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.