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Finding the Third Proportional to 17,762.26 and 38,370.74

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Solution

The third proportional to 17,762.26 and 38,370.74 is: 82,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.26 : 38,370.74 = 38,370.74 : x
  2. Step 2: Convert to fraction form
    17,762.26/38,370.74 = 38,370.74/x
  3. Step 3: Cross multiply
    17,762.26x = 38,370.74 × 38,370.74
  4. Step 4: Simplify right side
    17,762.26x = 1,472,314,005.91
  5. Step 5: Solve for x
    x = 1,472,314,005.91/17,762.26
  6. Step 6: Final answer
    x = 82,890.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.