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Finding the Third Proportional to 45,498 and 69,522.75

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Solution

The third proportional to 45,498 and 69,522.75 is: 106,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498 : 69,522.75 = 69,522.75 : x
  2. Step 2: Convert to fraction form
    45,498/69,522.75 = 69,522.75/x
  3. Step 3: Cross multiply
    45,498x = 69,522.75 × 69,522.75
  4. Step 4: Simplify right side
    45,498x = 4,833,412,767.56
  5. Step 5: Solve for x
    x = 4,833,412,767.56/45,498
  6. Step 6: Final answer
    x = 106,233.52

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1.5x scale

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.