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Finding the Third Proportional to 12,339.25 and 17,585.88

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Solution

The third proportional to 12,339.25 and 17,585.88 is: 25,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.25 : 17,585.88 = 17,585.88 : x
  2. Step 2: Convert to fraction form
    12,339.25/17,585.88 = 17,585.88/x
  3. Step 3: Cross multiply
    12,339.25x = 17,585.88 × 17,585.88
  4. Step 4: Simplify right side
    12,339.25x = 309,262,999.52
  5. Step 5: Solve for x
    x = 309,262,999.52/12,339.25
  6. Step 6: Final answer
    x = 25,063.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.