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Finding the Third Proportional to 4,573.13 and 8,677.13

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Solution

The third proportional to 4,573.13 and 8,677.13 is: 16,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.13 : 8,677.13 = 8,677.13 : x
  2. Step 2: Convert to fraction form
    4,573.13/8,677.13 = 8,677.13/x
  3. Step 3: Cross multiply
    4,573.13x = 8,677.13 × 8,677.13
  4. Step 4: Simplify right side
    4,573.13x = 75,292,498.27
  5. Step 5: Solve for x
    x = 75,292,498.27/4,573.13
  6. Step 6: Final answer
    x = 16,464.12

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.