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Finding the Third Proportional to 14,993.23 and 32,062.39

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Solution

The third proportional to 14,993.23 and 32,062.39 is: 68,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993.23 : 32,062.39 = 32,062.39 : x
  2. Step 2: Convert to fraction form
    14,993.23/32,062.39 = 32,062.39/x
  3. Step 3: Cross multiply
    14,993.23x = 32,062.39 × 32,062.39
  4. Step 4: Simplify right side
    14,993.23x = 1,027,997,143.08
  5. Step 5: Solve for x
    x = 1,027,997,143.08/14,993.23
  6. Step 6: Final answer
    x = 68,564.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.