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Finding the Third Proportional to 29,580.19 and 39,745.69

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Solution

The third proportional to 29,580.19 and 39,745.69 is: 53,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,580.19 : 39,745.69 = 39,745.69 : x
  2. Step 2: Convert to fraction form
    29,580.19/39,745.69 = 39,745.69/x
  3. Step 3: Cross multiply
    29,580.19x = 39,745.69 × 39,745.69
  4. Step 4: Simplify right side
    29,580.19x = 1,579,719,674.85
  5. Step 5: Solve for x
    x = 1,579,719,674.85/29,580.19
  6. Step 6: Final answer
    x = 53,404.65

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.