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Finding the Third Proportional to 9,328.92 and 14,010.47

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Solution

The third proportional to 9,328.92 and 14,010.47 is: 21,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.92 : 14,010.47 = 14,010.47 : x
  2. Step 2: Convert to fraction form
    9,328.92/14,010.47 = 14,010.47/x
  3. Step 3: Cross multiply
    9,328.92x = 14,010.47 × 14,010.47
  4. Step 4: Simplify right side
    9,328.92x = 196,293,234.59
  5. Step 5: Solve for x
    x = 196,293,234.59/9,328.92
  6. Step 6: Final answer
    x = 21,041.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.