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Finding the Third Proportional to 20,093.06 and 43,646.34

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Solution

The third proportional to 20,093.06 and 43,646.34 is: 94,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.06 : 43,646.34 = 43,646.34 : x
  2. Step 2: Convert to fraction form
    20,093.06/43,646.34 = 43,646.34/x
  3. Step 3: Cross multiply
    20,093.06x = 43,646.34 × 43,646.34
  4. Step 4: Simplify right side
    20,093.06x = 1,905,003,322.74
  5. Step 5: Solve for x
    x = 1,905,003,322.74/20,093.06
  6. Step 6: Final answer
    x = 94,809.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.