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Finding the Third Proportional to 32,239.50 and 49,818

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Solution

The third proportional to 32,239.50 and 49,818 is: 76,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,239.50 : 49,818 = 49,818 : x
  2. Step 2: Convert to fraction form
    32,239.50/49,818 = 49,818/x
  3. Step 3: Cross multiply
    32,239.50x = 49,818 × 49,818
  4. Step 4: Simplify right side
    32,239.50x = 2,481,833,124
  5. Step 5: Solve for x
    x = 2,481,833,124/32,239.50
  6. Step 6: Final answer
    x = 76,981.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.