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Finding the Third Proportional to 10,449 and 16,250.63

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Solution

The third proportional to 10,449 and 16,250.63 is: 25,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449 : 16,250.63 = 16,250.63 : x
  2. Step 2: Convert to fraction form
    10,449/16,250.63 = 16,250.63/x
  3. Step 3: Cross multiply
    10,449x = 16,250.63 × 16,250.63
  4. Step 4: Simplify right side
    10,449x = 264,082,812.89
  5. Step 5: Solve for x
    x = 264,082,812.89/10,449
  6. Step 6: Final answer
    x = 25,273.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.