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Finding the Third Proportional to 22,604.06 and 32,243.06

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Solution

The third proportional to 22,604.06 and 32,243.06 is: 45,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.06 : 32,243.06 = 32,243.06 : x
  2. Step 2: Convert to fraction form
    22,604.06/32,243.06 = 32,243.06/x
  3. Step 3: Cross multiply
    22,604.06x = 32,243.06 × 32,243.06
  4. Step 4: Simplify right side
    22,604.06x = 1,039,615,079.38
  5. Step 5: Solve for x
    x = 1,039,615,079.38/22,604.06
  6. Step 6: Final answer
    x = 45,992.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.