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Finding the Third Proportional to 4,651.50 and 10,347

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Solution

The third proportional to 4,651.50 and 10,347 is: 23,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.50 : 10,347 = 10,347 : x
  2. Step 2: Convert to fraction form
    4,651.50/10,347 = 10,347/x
  3. Step 3: Cross multiply
    4,651.50x = 10,347 × 10,347
  4. Step 4: Simplify right side
    4,651.50x = 107,060,409
  5. Step 5: Solve for x
    x = 107,060,409/4,651.50
  6. Step 6: Final answer
    x = 23,016.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.