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Finding the Third Proportional to 50,437 and 70,686

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Solution

The third proportional to 50,437 and 70,686 is: 99,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,437 : 70,686 = 70,686 : x
  2. Step 2: Convert to fraction form
    50,437/70,686 = 70,686/x
  3. Step 3: Cross multiply
    50,437x = 70,686 × 70,686
  4. Step 4: Simplify right side
    50,437x = 4,996,510,596
  5. Step 5: Solve for x
    x = 4,996,510,596/50,437
  6. Step 6: Final answer
    x = 99,064.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.