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Finding the Third Proportional to 7,233.38 and 15,851.63

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Solution

The third proportional to 7,233.38 and 15,851.63 is: 34,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.38 : 15,851.63 = 15,851.63 : x
  2. Step 2: Convert to fraction form
    7,233.38/15,851.63 = 15,851.63/x
  3. Step 3: Cross multiply
    7,233.38x = 15,851.63 × 15,851.63
  4. Step 4: Simplify right side
    7,233.38x = 251,274,015.14
  5. Step 5: Solve for x
    x = 251,274,015.14/7,233.38
  6. Step 6: Final answer
    x = 34,738.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.