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Finding the Third Proportional to 25,157.25 and 37,006.88

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Solution

The third proportional to 25,157.25 and 37,006.88 is: 54,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157.25 : 37,006.88 = 37,006.88 : x
  2. Step 2: Convert to fraction form
    25,157.25/37,006.88 = 37,006.88/x
  3. Step 3: Cross multiply
    25,157.25x = 37,006.88 × 37,006.88
  4. Step 4: Simplify right side
    25,157.25x = 1,369,508,797.27
  5. Step 5: Solve for x
    x = 1,369,508,797.27/25,157.25
  6. Step 6: Final answer
    x = 54,437.94

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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.