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Finding the Third Proportional to 39,452.25 and 55,492.50

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Solution

The third proportional to 39,452.25 and 55,492.50 is: 78,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,452.25 : 55,492.50 = 55,492.50 : x
  2. Step 2: Convert to fraction form
    39,452.25/55,492.50 = 55,492.50/x
  3. Step 3: Cross multiply
    39,452.25x = 55,492.50 × 55,492.50
  4. Step 4: Simplify right side
    39,452.25x = 3,079,417,556.25
  5. Step 5: Solve for x
    x = 3,079,417,556.25/39,452.25
  6. Step 6: Final answer
    x = 78,054.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.