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Finding the Third Proportional to 44,536 and 96,672

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Solution

The third proportional to 44,536 and 96,672 is: 209,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,536 : 96,672 = 96,672 : x
  2. Step 2: Convert to fraction form
    44,536/96,672 = 96,672/x
  3. Step 3: Cross multiply
    44,536x = 96,672 × 96,672
  4. Step 4: Simplify right side
    44,536x = 9,345,475,584
  5. Step 5: Solve for x
    x = 9,345,475,584/44,536
  6. Step 6: Final answer
    x = 209,840.93

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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.