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Finding the Third Proportional to 20,769 and 48,760.50

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Solution

The third proportional to 20,769 and 48,760.50 is: 114,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 48,760.50 = 48,760.50 : x
  2. Step 2: Convert to fraction form
    20,769/48,760.50 = 48,760.50/x
  3. Step 3: Cross multiply
    20,769x = 48,760.50 × 48,760.50
  4. Step 4: Simplify right side
    20,769x = 2,377,586,360.25
  5. Step 5: Solve for x
    x = 2,377,586,360.25/20,769
  6. Step 6: Final answer
    x = 114,477.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.