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Finding the Third Proportional to 7,654.50 and 17,750.81

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Solution

The third proportional to 7,654.50 and 17,750.81 is: 41,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.50 : 17,750.81 = 17,750.81 : x
  2. Step 2: Convert to fraction form
    7,654.50/17,750.81 = 17,750.81/x
  3. Step 3: Cross multiply
    7,654.50x = 17,750.81 × 17,750.81
  4. Step 4: Simplify right side
    7,654.50x = 315,091,344.41
  5. Step 5: Solve for x
    x = 315,091,344.41/7,654.50
  6. Step 6: Final answer
    x = 41,164.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.