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Finding the Third Proportional to 37,093.50 and 87,526.13

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Solution

The third proportional to 37,093.50 and 87,526.13 is: 206,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,093.50 : 87,526.13 = 87,526.13 : x
  2. Step 2: Convert to fraction form
    37,093.50/87,526.13 = 87,526.13/x
  3. Step 3: Cross multiply
    37,093.50x = 87,526.13 × 87,526.13
  4. Step 4: Simplify right side
    37,093.50x = 7,660,822,557.52
  5. Step 5: Solve for x
    x = 7,660,822,557.52/37,093.50
  6. Step 6: Final answer
    x = 206,527.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.