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Finding the Third Proportional to 25,069.50 and 53,416.50

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Solution

The third proportional to 25,069.50 and 53,416.50 is: 113,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,069.50 : 53,416.50 = 53,416.50 : x
  2. Step 2: Convert to fraction form
    25,069.50/53,416.50 = 53,416.50/x
  3. Step 3: Cross multiply
    25,069.50x = 53,416.50 × 53,416.50
  4. Step 4: Simplify right side
    25,069.50x = 2,853,322,472.25
  5. Step 5: Solve for x
    x = 2,853,322,472.25/25,069.50
  6. Step 6: Final answer
    x = 113,816.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.