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Finding the Third Proportional to 4,045.78 and 8,654.06

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Solution

The third proportional to 4,045.78 and 8,654.06 is: 18,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,045.78 : 8,654.06 = 8,654.06 : x
  2. Step 2: Convert to fraction form
    4,045.78/8,654.06 = 8,654.06/x
  3. Step 3: Cross multiply
    4,045.78x = 8,654.06 × 8,654.06
  4. Step 4: Simplify right side
    4,045.78x = 74,892,797.75
  5. Step 5: Solve for x
    x = 74,892,797.75/4,045.78
  6. Step 6: Final answer
    x = 18,511.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.