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Finding the Third Proportional to 12,057 and 15,624.75

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Solution

The third proportional to 12,057 and 15,624.75 is: 20,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057 : 15,624.75 = 15,624.75 : x
  2. Step 2: Convert to fraction form
    12,057/15,624.75 = 15,624.75/x
  3. Step 3: Cross multiply
    12,057x = 15,624.75 × 15,624.75
  4. Step 4: Simplify right side
    12,057x = 244,132,812.56
  5. Step 5: Solve for x
    x = 244,132,812.56/12,057
  6. Step 6: Final answer
    x = 20,248.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.