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Finding the Third Proportional to 10,214.86 and 22,042.13

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Solution

The third proportional to 10,214.86 and 22,042.13 is: 47,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.86 : 22,042.13 = 22,042.13 : x
  2. Step 2: Convert to fraction form
    10,214.86/22,042.13 = 22,042.13/x
  3. Step 3: Cross multiply
    10,214.86x = 22,042.13 × 22,042.13
  4. Step 4: Simplify right side
    10,214.86x = 485,855,274.52
  5. Step 5: Solve for x
    x = 485,855,274.52/10,214.86
  6. Step 6: Final answer
    x = 47,563.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.