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Finding the Third Proportional to 43,705.50 and 94,809

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Solution

The third proportional to 43,705.50 and 94,809 is: 205,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,705.50 : 94,809 = 94,809 : x
  2. Step 2: Convert to fraction form
    43,705.50/94,809 = 94,809/x
  3. Step 3: Cross multiply
    43,705.50x = 94,809 × 94,809
  4. Step 4: Simplify right side
    43,705.50x = 8,988,746,481
  5. Step 5: Solve for x
    x = 8,988,746,481/43,705.50
  6. Step 6: Final answer
    x = 205,666.25

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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.