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Finding the Third Proportional to 16,265.81 and 22,869.84

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Solution

The third proportional to 16,265.81 and 22,869.84 is: 32,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.81 : 22,869.84 = 22,869.84 : x
  2. Step 2: Convert to fraction form
    16,265.81/22,869.84 = 22,869.84/x
  3. Step 3: Cross multiply
    16,265.81x = 22,869.84 × 22,869.84
  4. Step 4: Simplify right side
    16,265.81x = 523,029,753.15
  5. Step 5: Solve for x
    x = 523,029,753.15/16,265.81
  6. Step 6: Final answer
    x = 32,155.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.