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Finding the Third Proportional to 6,584.63 and 10,590.75

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Solution

The third proportional to 6,584.63 and 10,590.75 is: 17,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.63 : 10,590.75 = 10,590.75 : x
  2. Step 2: Convert to fraction form
    6,584.63/10,590.75 = 10,590.75/x
  3. Step 3: Cross multiply
    6,584.63x = 10,590.75 × 10,590.75
  4. Step 4: Simplify right side
    6,584.63x = 112,163,985.56
  5. Step 5: Solve for x
    x = 112,163,985.56/6,584.63
  6. Step 6: Final answer
    x = 17,034.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.