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Finding the Third Proportional to 25,737.75 and 39,789

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Solution

The third proportional to 25,737.75 and 39,789 is: 61,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737.75 : 39,789 = 39,789 : x
  2. Step 2: Convert to fraction form
    25,737.75/39,789 = 39,789/x
  3. Step 3: Cross multiply
    25,737.75x = 39,789 × 39,789
  4. Step 4: Simplify right side
    25,737.75x = 1,583,164,521
  5. Step 5: Solve for x
    x = 1,583,164,521/25,737.75
  6. Step 6: Final answer
    x = 61,511.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.