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Finding the Third Proportional to 10,803.13 and 16,665.63

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Solution

The third proportional to 10,803.13 and 16,665.63 is: 25,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.13 : 16,665.63 = 16,665.63 : x
  2. Step 2: Convert to fraction form
    10,803.13/16,665.63 = 16,665.63/x
  3. Step 3: Cross multiply
    10,803.13x = 16,665.63 × 16,665.63
  4. Step 4: Simplify right side
    10,803.13x = 277,743,056.64
  5. Step 5: Solve for x
    x = 277,743,056.64/10,803.13
  6. Step 6: Final answer
    x = 25,709.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.