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Finding the Third Proportional to 49,497 and 70,524

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Solution

The third proportional to 49,497 and 70,524 is: 100,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497 : 70,524 = 70,524 : x
  2. Step 2: Convert to fraction form
    49,497/70,524 = 70,524/x
  3. Step 3: Cross multiply
    49,497x = 70,524 × 70,524
  4. Step 4: Simplify right side
    49,497x = 4,973,634,576
  5. Step 5: Solve for x
    x = 4,973,634,576/49,497
  6. Step 6: Final answer
    x = 100,483.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.