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Finding the Third Proportional to 9,246.94 and 20,066.06

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Solution

The third proportional to 9,246.94 and 20,066.06 is: 43,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.94 : 20,066.06 = 20,066.06 : x
  2. Step 2: Convert to fraction form
    9,246.94/20,066.06 = 20,066.06/x
  3. Step 3: Cross multiply
    9,246.94x = 20,066.06 × 20,066.06
  4. Step 4: Simplify right side
    9,246.94x = 402,646,864.25
  5. Step 5: Solve for x
    x = 402,646,864.25/9,246.94
  6. Step 6: Final answer
    x = 43,543.81

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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.