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Finding the Third Proportional to 37,730 and 51,231

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Solution

The third proportional to 37,730 and 51,231 is: 69,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,730 : 51,231 = 51,231 : x
  2. Step 2: Convert to fraction form
    37,730/51,231 = 51,231/x
  3. Step 3: Cross multiply
    37,730x = 51,231 × 51,231
  4. Step 4: Simplify right side
    37,730x = 2,624,615,361
  5. Step 5: Solve for x
    x = 2,624,615,361/37,730
  6. Step 6: Final answer
    x = 69,563.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.