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Finding the Third Proportional to 18,396 and 24,293.25

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Solution

The third proportional to 18,396 and 24,293.25 is: 32,081.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,396 : 24,293.25 = 24,293.25 : x
  2. Step 2: Convert to fraction form
    18,396/24,293.25 = 24,293.25/x
  3. Step 3: Cross multiply
    18,396x = 24,293.25 × 24,293.25
  4. Step 4: Simplify right side
    18,396x = 590,161,995.56
  5. Step 5: Solve for x
    x = 590,161,995.56/18,396
  6. Step 6: Final answer
    x = 32,081.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.