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Finding the Third Proportional to 32,331 and 49,678

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Solution

The third proportional to 32,331 and 49,678 is: 76,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,331 : 49,678 = 49,678 : x
  2. Step 2: Convert to fraction form
    32,331/49,678 = 49,678/x
  3. Step 3: Cross multiply
    32,331x = 49,678 × 49,678
  4. Step 4: Simplify right side
    32,331x = 2,467,903,684
  5. Step 5: Solve for x
    x = 2,467,903,684/32,331
  6. Step 6: Final answer
    x = 76,332.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.