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Finding the Third Proportional to 40,037 and 59,831

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Solution

The third proportional to 40,037 and 59,831 is: 89,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,037 : 59,831 = 59,831 : x
  2. Step 2: Convert to fraction form
    40,037/59,831 = 59,831/x
  3. Step 3: Cross multiply
    40,037x = 59,831 × 59,831
  4. Step 4: Simplify right side
    40,037x = 3,579,748,561
  5. Step 5: Solve for x
    x = 3,579,748,561/40,037
  6. Step 6: Final answer
    x = 89,411.01

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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.