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Finding the Third Proportional to 25,208.25 and 52,996.50

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Solution

The third proportional to 25,208.25 and 52,996.50 is: 111,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.25 : 52,996.50 = 52,996.50 : x
  2. Step 2: Convert to fraction form
    25,208.25/52,996.50 = 52,996.50/x
  3. Step 3: Cross multiply
    25,208.25x = 52,996.50 × 52,996.50
  4. Step 4: Simplify right side
    25,208.25x = 2,808,629,012.25
  5. Step 5: Solve for x
    x = 2,808,629,012.25/25,208.25
  6. Step 6: Final answer
    x = 111,417.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.