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Finding the Third Proportional to 4,151.88 and 8,654.03

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Solution

The third proportional to 4,151.88 and 8,654.03 is: 18,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.88 : 8,654.03 = 8,654.03 : x
  2. Step 2: Convert to fraction form
    4,151.88/8,654.03 = 8,654.03/x
  3. Step 3: Cross multiply
    4,151.88x = 8,654.03 × 8,654.03
  4. Step 4: Simplify right side
    4,151.88x = 74,892,189.27
  5. Step 5: Solve for x
    x = 74,892,189.27/4,151.88
  6. Step 6: Final answer
    x = 18,038.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.