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Finding the Third Proportional to 12,590.44 and 19,584.28

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Solution

The third proportional to 12,590.44 and 19,584.28 is: 30,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.44 : 19,584.28 = 19,584.28 : x
  2. Step 2: Convert to fraction form
    12,590.44/19,584.28 = 19,584.28/x
  3. Step 3: Cross multiply
    12,590.44x = 19,584.28 × 19,584.28
  4. Step 4: Simplify right side
    12,590.44x = 383,544,072.08
  5. Step 5: Solve for x
    x = 383,544,072.08/12,590.44
  6. Step 6: Final answer
    x = 30,463.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.