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Finding the Third Proportional to 17,832.66 and 38,710.41

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Solution

The third proportional to 17,832.66 and 38,710.41 is: 84,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.66 : 38,710.41 = 38,710.41 : x
  2. Step 2: Convert to fraction form
    17,832.66/38,710.41 = 38,710.41/x
  3. Step 3: Cross multiply
    17,832.66x = 38,710.41 × 38,710.41
  4. Step 4: Simplify right side
    17,832.66x = 1,498,495,552.04
  5. Step 5: Solve for x
    x = 1,498,495,552.04/17,832.66
  6. Step 6: Final answer
    x = 84,030.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.