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Finding the Third Proportional to 9,328.92 and 14,141.46

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Solution

The third proportional to 9,328.92 and 14,141.46 is: 21,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.92 : 14,141.46 = 14,141.46 : x
  2. Step 2: Convert to fraction form
    9,328.92/14,141.46 = 14,141.46/x
  3. Step 3: Cross multiply
    9,328.92x = 14,141.46 × 14,141.46
  4. Step 4: Simplify right side
    9,328.92x = 199,980,917.45
  5. Step 5: Solve for x
    x = 199,980,917.45/9,328.92
  6. Step 6: Final answer
    x = 21,436.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.