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Finding the Third Proportional to 45,496 and 69,693

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Solution

The third proportional to 45,496 and 69,693 is: 106,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,496 : 69,693 = 69,693 : x
  2. Step 2: Convert to fraction form
    45,496/69,693 = 69,693/x
  3. Step 3: Cross multiply
    45,496x = 69,693 × 69,693
  4. Step 4: Simplify right side
    45,496x = 4,857,114,249
  5. Step 5: Solve for x
    x = 4,857,114,249/45,496
  6. Step 6: Final answer
    x = 106,759.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.