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Finding the Third Proportional to 10,689.47 and 23,224.22

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Solution

The third proportional to 10,689.47 and 23,224.22 is: 50,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.47 : 23,224.22 = 23,224.22 : x
  2. Step 2: Convert to fraction form
    10,689.47/23,224.22 = 23,224.22/x
  3. Step 3: Cross multiply
    10,689.47x = 23,224.22 × 23,224.22
  4. Step 4: Simplify right side
    10,689.47x = 539,364,336.55
  5. Step 5: Solve for x
    x = 539,364,336.55/10,689.47
  6. Step 6: Final answer
    x = 50,457.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.