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Finding the Third Proportional to 5,094.14 and 11,146.36

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Solution

The third proportional to 5,094.14 and 11,146.36 is: 24,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.14 : 11,146.36 = 11,146.36 : x
  2. Step 2: Convert to fraction form
    5,094.14/11,146.36 = 11,146.36/x
  3. Step 3: Cross multiply
    5,094.14x = 11,146.36 × 11,146.36
  4. Step 4: Simplify right side
    5,094.14x = 124,241,327.32
  5. Step 5: Solve for x
    x = 124,241,327.32/5,094.14
  6. Step 6: Final answer
    x = 24,389.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.