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Finding the Third Proportional to 5,111.44 and 11,314.13

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Solution

The third proportional to 5,111.44 and 11,314.13 is: 25,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.44 : 11,314.13 = 11,314.13 : x
  2. Step 2: Convert to fraction form
    5,111.44/11,314.13 = 11,314.13/x
  3. Step 3: Cross multiply
    5,111.44x = 11,314.13 × 11,314.13
  4. Step 4: Simplify right side
    5,111.44x = 128,009,424.52
  5. Step 5: Solve for x
    x = 128,009,424.52/5,111.44
  6. Step 6: Final answer
    x = 25,043.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.