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Finding the Third Proportional to 7,706.53 and 16,839.84

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Solution

The third proportional to 7,706.53 and 16,839.84 is: 36,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.53 : 16,839.84 = 16,839.84 : x
  2. Step 2: Convert to fraction form
    7,706.53/16,839.84 = 16,839.84/x
  3. Step 3: Cross multiply
    7,706.53x = 16,839.84 × 16,839.84
  4. Step 4: Simplify right side
    7,706.53x = 283,580,337.52
  5. Step 5: Solve for x
    x = 283,580,337.52/7,706.53
  6. Step 6: Final answer
    x = 36,797.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.