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Finding the Third Proportional to 15,697.13 and 21,951

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Solution

The third proportional to 15,697.13 and 21,951 is: 30,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.13 : 21,951 = 21,951 : x
  2. Step 2: Convert to fraction form
    15,697.13/21,951 = 21,951/x
  3. Step 3: Cross multiply
    15,697.13x = 21,951 × 21,951
  4. Step 4: Simplify right side
    15,697.13x = 481,846,401
  5. Step 5: Solve for x
    x = 481,846,401/15,697.13
  6. Step 6: Final answer
    x = 30,696.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.