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Finding the Third Proportional to 44,476 and 96,652

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Solution

The third proportional to 44,476 and 96,652 is: 210,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,476 : 96,652 = 96,652 : x
  2. Step 2: Convert to fraction form
    44,476/96,652 = 96,652/x
  3. Step 3: Cross multiply
    44,476x = 96,652 × 96,652
  4. Step 4: Simplify right side
    44,476x = 9,341,609,104
  5. Step 5: Solve for x
    x = 9,341,609,104/44,476
  6. Step 6: Final answer
    x = 210,037.08

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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.