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Finding the Third Proportional to 10,412 and 22,346

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Solution

The third proportional to 10,412 and 22,346 is: 47,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412 : 22,346 = 22,346 : x
  2. Step 2: Convert to fraction form
    10,412/22,346 = 22,346/x
  3. Step 3: Cross multiply
    10,412x = 22,346 × 22,346
  4. Step 4: Simplify right side
    10,412x = 499,343,716
  5. Step 5: Solve for x
    x = 499,343,716/10,412
  6. Step 6: Final answer
    x = 47,958.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.