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Finding the Third Proportional to 19,737 and 25,607.81

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Solution

The third proportional to 19,737 and 25,607.81 is: 33,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 25,607.81 = 25,607.81 : x
  2. Step 2: Convert to fraction form
    19,737/25,607.81 = 25,607.81/x
  3. Step 3: Cross multiply
    19,737x = 25,607.81 × 25,607.81
  4. Step 4: Simplify right side
    19,737x = 655,760,061.04
  5. Step 5: Solve for x
    x = 655,760,061.04/19,737
  6. Step 6: Final answer
    x = 33,224.91

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.