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Finding the Third Proportional to 25,448.25 and 37,412.25

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Solution

The third proportional to 25,448.25 and 37,412.25 is: 55,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,448.25 : 37,412.25 = 37,412.25 : x
  2. Step 2: Convert to fraction form
    25,448.25/37,412.25 = 37,412.25/x
  3. Step 3: Cross multiply
    25,448.25x = 37,412.25 × 37,412.25
  4. Step 4: Simplify right side
    25,448.25x = 1,399,676,450.06
  5. Step 5: Solve for x
    x = 1,399,676,450.06/25,448.25
  6. Step 6: Final answer
    x = 55,000.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.