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Finding the Third Proportional to 32,121 and 49,434

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Solution

The third proportional to 32,121 and 49,434 is: 76,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121 : 49,434 = 49,434 : x
  2. Step 2: Convert to fraction form
    32,121/49,434 = 49,434/x
  3. Step 3: Cross multiply
    32,121x = 49,434 × 49,434
  4. Step 4: Simplify right side
    32,121x = 2,443,720,356
  5. Step 5: Solve for x
    x = 2,443,720,356/32,121
  6. Step 6: Final answer
    x = 76,078.59

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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.