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Finding the Third Proportional to 18,152.23 and 39,085.66

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Solution

The third proportional to 18,152.23 and 39,085.66 is: 84,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,152.23 : 39,085.66 = 39,085.66 : x
  2. Step 2: Convert to fraction form
    18,152.23/39,085.66 = 39,085.66/x
  3. Step 3: Cross multiply
    18,152.23x = 39,085.66 × 39,085.66
  4. Step 4: Simplify right side
    18,152.23x = 1,527,689,135.21
  5. Step 5: Solve for x
    x = 1,527,689,135.21/18,152.23
  6. Step 6: Final answer
    x = 84,159.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.