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Finding the Third Proportional to 10,490.77 and 16,244.46

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Solution

The third proportional to 10,490.77 and 16,244.46 is: 25,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.77 : 16,244.46 = 16,244.46 : x
  2. Step 2: Convert to fraction form
    10,490.77/16,244.46 = 16,244.46/x
  3. Step 3: Cross multiply
    10,490.77x = 16,244.46 × 16,244.46
  4. Step 4: Simplify right side
    10,490.77x = 263,882,320.79
  5. Step 5: Solve for x
    x = 263,882,320.79/10,490.77
  6. Step 6: Final answer
    x = 25,153.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.