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Finding the Third Proportional to 50,031 and 70,366.50

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Solution

The third proportional to 50,031 and 70,366.50 is: 98,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,031 : 70,366.50 = 70,366.50 : x
  2. Step 2: Convert to fraction form
    50,031/70,366.50 = 70,366.50/x
  3. Step 3: Cross multiply
    50,031x = 70,366.50 × 70,366.50
  4. Step 4: Simplify right side
    50,031x = 4,951,444,322.25
  5. Step 5: Solve for x
    x = 4,951,444,322.25/50,031
  6. Step 6: Final answer
    x = 98,967.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.