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Finding the Third Proportional to 29,031 and 43,433.50

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Solution

The third proportional to 29,031 and 43,433.50 is: 64,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,031 : 43,433.50 = 43,433.50 : x
  2. Step 2: Convert to fraction form
    29,031/43,433.50 = 43,433.50/x
  3. Step 3: Cross multiply
    29,031x = 43,433.50 × 43,433.50
  4. Step 4: Simplify right side
    29,031x = 1,886,468,922.25
  5. Step 5: Solve for x
    x = 1,886,468,922.25/29,031
  6. Step 6: Final answer
    x = 64,981.19

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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.