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Finding the Third Proportional to 25,002.25 and 53,352.50

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Solution

The third proportional to 25,002.25 and 53,352.50 is: 113,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,002.25 : 53,352.50 = 53,352.50 : x
  2. Step 2: Convert to fraction form
    25,002.25/53,352.50 = 53,352.50/x
  3. Step 3: Cross multiply
    25,002.25x = 53,352.50 × 53,352.50
  4. Step 4: Simplify right side
    25,002.25x = 2,846,489,256.25
  5. Step 5: Solve for x
    x = 2,846,489,256.25/25,002.25
  6. Step 6: Final answer
    x = 113,849.32

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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.