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Finding the Third Proportional to 25,872.75 and 39,011.63

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Solution

The third proportional to 25,872.75 and 39,011.63 is: 58,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.75 : 39,011.63 = 39,011.63 : x
  2. Step 2: Convert to fraction form
    25,872.75/39,011.63 = 39,011.63/x
  3. Step 3: Cross multiply
    25,872.75x = 39,011.63 × 39,011.63
  4. Step 4: Simplify right side
    25,872.75x = 1,521,906,885.14
  5. Step 5: Solve for x
    x = 1,521,906,885.14/25,872.75
  6. Step 6: Final answer
    x = 58,822.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.