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Finding the Third Proportional to 38,498.06 and 57,590.44

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Solution

The third proportional to 38,498.06 and 57,590.44 is: 86,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.06 : 57,590.44 = 57,590.44 : x
  2. Step 2: Convert to fraction form
    38,498.06/57,590.44 = 57,590.44/x
  3. Step 3: Cross multiply
    38,498.06x = 57,590.44 × 57,590.44
  4. Step 4: Simplify right side
    38,498.06x = 3,316,658,491.44
  5. Step 5: Solve for x
    x = 3,316,658,491.44/38,498.06
  6. Step 6: Final answer
    x = 86,151.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.