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Finding the Third Proportional to 25,835.74 and 37,658.87

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Solution

The third proportional to 25,835.74 and 37,658.87 is: 54,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,835.74 : 37,658.87 = 37,658.87 : x
  2. Step 2: Convert to fraction form
    25,835.74/37,658.87 = 37,658.87/x
  3. Step 3: Cross multiply
    25,835.74x = 37,658.87 × 37,658.87
  4. Step 4: Simplify right side
    25,835.74x = 1,418,190,834.09
  5. Step 5: Solve for x
    x = 1,418,190,834.09/25,835.74
  6. Step 6: Final answer
    x = 54,892.60

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.