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Finding the Third Proportional to 17,777.25 and 25,934.63

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Solution

The third proportional to 17,777.25 and 25,934.63 is: 37,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.25 : 25,934.63 = 25,934.63 : x
  2. Step 2: Convert to fraction form
    17,777.25/25,934.63 = 25,934.63/x
  3. Step 3: Cross multiply
    17,777.25x = 25,934.63 × 25,934.63
  4. Step 4: Simplify right side
    17,777.25x = 672,604,773.89
  5. Step 5: Solve for x
    x = 672,604,773.89/17,777.25
  6. Step 6: Final answer
    x = 37,835.14

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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.