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Finding the Third Proportional to 40,031 and 59,964

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Solution

The third proportional to 40,031 and 59,964 is: 89,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,031 : 59,964 = 59,964 : x
  2. Step 2: Convert to fraction form
    40,031/59,964 = 59,964/x
  3. Step 3: Cross multiply
    40,031x = 59,964 × 59,964
  4. Step 4: Simplify right side
    40,031x = 3,595,681,296
  5. Step 5: Solve for x
    x = 3,595,681,296/40,031
  6. Step 6: Final answer
    x = 89,822.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.