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Finding the Third Proportional to 37,311 and 51,712

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Solution

The third proportional to 37,311 and 51,712 is: 71,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,311 : 51,712 = 51,712 : x
  2. Step 2: Convert to fraction form
    37,311/51,712 = 51,712/x
  3. Step 3: Cross multiply
    37,311x = 51,712 × 51,712
  4. Step 4: Simplify right side
    37,311x = 2,674,130,944
  5. Step 5: Solve for x
    x = 2,674,130,944/37,311
  6. Step 6: Final answer
    x = 71,671.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.