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Finding the Third Proportional to 7,654.50 and 16,829.65

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Solution

The third proportional to 7,654.50 and 16,829.65 is: 37,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.50 : 16,829.65 = 16,829.65 : x
  2. Step 2: Convert to fraction form
    7,654.50/16,829.65 = 16,829.65/x
  3. Step 3: Cross multiply
    7,654.50x = 16,829.65 × 16,829.65
  4. Step 4: Simplify right side
    7,654.50x = 283,237,066.53
  5. Step 5: Solve for x
    x = 283,237,066.53/7,654.50
  6. Step 6: Final answer
    x = 37,002.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.