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Finding the Third Proportional to 5,698.13 and 8,584.31

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Solution

The third proportional to 5,698.13 and 8,584.31 is: 12,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.13 : 8,584.31 = 8,584.31 : x
  2. Step 2: Convert to fraction form
    5,698.13/8,584.31 = 8,584.31/x
  3. Step 3: Cross multiply
    5,698.13x = 8,584.31 × 8,584.31
  4. Step 4: Simplify right side
    5,698.13x = 73,690,421.10
  5. Step 5: Solve for x
    x = 73,690,421.10/5,698.13
  6. Step 6: Final answer
    x = 12,932.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.