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Finding the Third Proportional to 43,824 and 95,829

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Solution

The third proportional to 43,824 and 95,829 is: 209,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824 : 95,829 = 95,829 : x
  2. Step 2: Convert to fraction form
    43,824/95,829 = 95,829/x
  3. Step 3: Cross multiply
    43,824x = 95,829 × 95,829
  4. Step 4: Simplify right side
    43,824x = 9,183,197,241
  5. Step 5: Solve for x
    x = 9,183,197,241/43,824
  6. Step 6: Final answer
    x = 209,547.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.