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Finding the Third Proportional to 32,078 and 49,370

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Solution

The third proportional to 32,078 and 49,370 is: 75,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078 : 49,370 = 49,370 : x
  2. Step 2: Convert to fraction form
    32,078/49,370 = 49,370/x
  3. Step 3: Cross multiply
    32,078x = 49,370 × 49,370
  4. Step 4: Simplify right side
    32,078x = 2,437,396,900
  5. Step 5: Solve for x
    x = 2,437,396,900/32,078
  6. Step 6: Final answer
    x = 75,983.44

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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.