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Finding the Third Proportional to 10,670.17 and 23,322.30

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Solution

The third proportional to 10,670.17 and 23,322.30 is: 50,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.17 : 23,322.30 = 23,322.30 : x
  2. Step 2: Convert to fraction form
    10,670.17/23,322.30 = 23,322.30/x
  3. Step 3: Cross multiply
    10,670.17x = 23,322.30 × 23,322.30
  4. Step 4: Simplify right side
    10,670.17x = 543,929,895.94
  5. Step 5: Solve for x
    x = 543,929,895.94/10,670.17
  6. Step 6: Final answer
    x = 50,976.69

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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.