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Finding the Third Proportional to 25,748.06 and 39,847.22

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Solution

The third proportional to 25,748.06 and 39,847.22 is: 61,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748.06 : 39,847.22 = 39,847.22 : x
  2. Step 2: Convert to fraction form
    25,748.06/39,847.22 = 39,847.22/x
  3. Step 3: Cross multiply
    25,748.06x = 39,847.22 × 39,847.22
  4. Step 4: Simplify right side
    25,748.06x = 1,587,800,842.11
  5. Step 5: Solve for x
    x = 1,587,800,842.11/25,748.06
  6. Step 6: Final answer
    x = 61,666.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.