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Finding the Third Proportional to 43,582 and 95,488

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Solution

The third proportional to 43,582 and 95,488 is: 209,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,582 : 95,488 = 95,488 : x
  2. Step 2: Convert to fraction form
    43,582/95,488 = 95,488/x
  3. Step 3: Cross multiply
    43,582x = 95,488 × 95,488
  4. Step 4: Simplify right side
    43,582x = 9,117,958,144
  5. Step 5: Solve for x
    x = 9,117,958,144/43,582
  6. Step 6: Final answer
    x = 209,213.85

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