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Finding the Third Proportional to 16,569 and 25,094.81

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Solution

The third proportional to 16,569 and 25,094.81 is: 38,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569 : 25,094.81 = 25,094.81 : x
  2. Step 2: Convert to fraction form
    16,569/25,094.81 = 25,094.81/x
  3. Step 3: Cross multiply
    16,569x = 25,094.81 × 25,094.81
  4. Step 4: Simplify right side
    16,569x = 629,749,614.41
  5. Step 5: Solve for x
    x = 629,749,614.41/16,569
  6. Step 6: Final answer
    x = 38,007.70

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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.