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Finding the Third Proportional to 37,953 and 56,619

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Solution

The third proportional to 37,953 and 56,619 is: 84,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,953 : 56,619 = 56,619 : x
  2. Step 2: Convert to fraction form
    37,953/56,619 = 56,619/x
  3. Step 3: Cross multiply
    37,953x = 56,619 × 56,619
  4. Step 4: Simplify right side
    37,953x = 3,205,711,161
  5. Step 5: Solve for x
    x = 3,205,711,161/37,953
  6. Step 6: Final answer
    x = 84,465.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.