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Finding the Third Proportional to 9,244.43 and 14,596.46

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Solution

The third proportional to 9,244.43 and 14,596.46 is: 23,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.43 : 14,596.46 = 14,596.46 : x
  2. Step 2: Convert to fraction form
    9,244.43/14,596.46 = 14,596.46/x
  3. Step 3: Cross multiply
    9,244.43x = 14,596.46 × 14,596.46
  4. Step 4: Simplify right side
    9,244.43x = 213,056,732.48
  5. Step 5: Solve for x
    x = 213,056,732.48/9,244.43
  6. Step 6: Final answer
    x = 23,047.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.