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Finding the Third Proportional to 47,430 and 103,446

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Solution

The third proportional to 47,430 and 103,446 is: 225,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,430 : 103,446 = 103,446 : x
  2. Step 2: Convert to fraction form
    47,430/103,446 = 103,446/x
  3. Step 3: Cross multiply
    47,430x = 103,446 × 103,446
  4. Step 4: Simplify right side
    47,430x = 10,701,074,916
  5. Step 5: Solve for x
    x = 10,701,074,916/47,430
  6. Step 6: Final answer
    x = 225,618.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.