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Finding the Third Proportional to 9,192.23 and 14,688.21

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Solution

The third proportional to 9,192.23 and 14,688.21 is: 23,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.23 : 14,688.21 = 14,688.21 : x
  2. Step 2: Convert to fraction form
    9,192.23/14,688.21 = 14,688.21/x
  3. Step 3: Cross multiply
    9,192.23x = 14,688.21 × 14,688.21
  4. Step 4: Simplify right side
    9,192.23x = 215,743,540.54
  5. Step 5: Solve for x
    x = 215,743,540.54/9,192.23
  6. Step 6: Final answer
    x = 23,470.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.