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Finding the Third Proportional to 25,227.75 and 53,530.50

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Solution

The third proportional to 25,227.75 and 53,530.50 is: 113,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.75 : 53,530.50 = 53,530.50 : x
  2. Step 2: Convert to fraction form
    25,227.75/53,530.50 = 53,530.50/x
  3. Step 3: Cross multiply
    25,227.75x = 53,530.50 × 53,530.50
  4. Step 4: Simplify right side
    25,227.75x = 2,865,514,430.25
  5. Step 5: Solve for x
    x = 2,865,514,430.25/25,227.75
  6. Step 6: Final answer
    x = 113,585.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.