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Finding the Third Proportional to 12,506.75 and 17,590.13

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Solution

The third proportional to 12,506.75 and 17,590.13 is: 24,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.75 : 17,590.13 = 17,590.13 : x
  2. Step 2: Convert to fraction form
    12,506.75/17,590.13 = 17,590.13/x
  3. Step 3: Cross multiply
    12,506.75x = 17,590.13 × 17,590.13
  4. Step 4: Simplify right side
    12,506.75x = 309,412,497.52
  5. Step 5: Solve for x
    x = 309,412,497.52/12,506.75
  6. Step 6: Final answer
    x = 24,739.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.