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Finding the Third Proportional to 47,344.50 and 102,033

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Solution

The third proportional to 47,344.50 and 102,033 is: 219,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344.50 : 102,033 = 102,033 : x
  2. Step 2: Convert to fraction form
    47,344.50/102,033 = 102,033/x
  3. Step 3: Cross multiply
    47,344.50x = 102,033 × 102,033
  4. Step 4: Simplify right side
    47,344.50x = 10,410,733,089
  5. Step 5: Solve for x
    x = 10,410,733,089/47,344.50
  6. Step 6: Final answer
    x = 219,893.19

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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.