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Finding the Third Proportional to 32,119 and 49,431

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Solution

The third proportional to 32,119 and 49,431 is: 76,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,119 : 49,431 = 49,431 : x
  2. Step 2: Convert to fraction form
    32,119/49,431 = 49,431/x
  3. Step 3: Cross multiply
    32,119x = 49,431 × 49,431
  4. Step 4: Simplify right side
    32,119x = 2,443,423,761
  5. Step 5: Solve for x
    x = 2,443,423,761/32,119
  6. Step 6: Final answer
    x = 76,074.09

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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.