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Finding the Third Proportional to 22,143.38 and 32,486.06

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Solution

The third proportional to 22,143.38 and 32,486.06 is: 47,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143.38 : 32,486.06 = 32,486.06 : x
  2. Step 2: Convert to fraction form
    22,143.38/32,486.06 = 32,486.06/x
  3. Step 3: Cross multiply
    22,143.38x = 32,486.06 × 32,486.06
  4. Step 4: Simplify right side
    22,143.38x = 1,055,344,256.75
  5. Step 5: Solve for x
    x = 1,055,344,256.75/22,143.38
  6. Step 6: Final answer
    x = 47,659.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.