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Finding the Third Proportional to 49,352 and 70,337

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Solution

The third proportional to 49,352 and 70,337 is: 100,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,352 : 70,337 = 70,337 : x
  2. Step 2: Convert to fraction form
    49,352/70,337 = 70,337/x
  3. Step 3: Cross multiply
    49,352x = 70,337 × 70,337
  4. Step 4: Simplify right side
    49,352x = 4,947,293,569
  5. Step 5: Solve for x
    x = 4,947,293,569/49,352
  6. Step 6: Final answer
    x = 100,245.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.