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Finding the Third Proportional to 11,051 and 22,739.50

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Solution

The third proportional to 11,051 and 22,739.50 is: 46,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051 : 22,739.50 = 22,739.50 : x
  2. Step 2: Convert to fraction form
    11,051/22,739.50 = 22,739.50/x
  3. Step 3: Cross multiply
    11,051x = 22,739.50 × 22,739.50
  4. Step 4: Simplify right side
    11,051x = 517,084,860.25
  5. Step 5: Solve for x
    x = 517,084,860.25/11,051
  6. Step 6: Final answer
    x = 46,790.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.