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Finding the Third Proportional to 16,706.25 and 25,871.91

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Solution

The third proportional to 16,706.25 and 25,871.91 is: 40,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.25 : 25,871.91 = 25,871.91 : x
  2. Step 2: Convert to fraction form
    16,706.25/25,871.91 = 25,871.91/x
  3. Step 3: Cross multiply
    16,706.25x = 25,871.91 × 25,871.91
  4. Step 4: Simplify right side
    16,706.25x = 669,355,533.01
  5. Step 5: Solve for x
    x = 669,355,533.01/16,706.25
  6. Step 6: Final answer
    x = 40,066.17

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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.