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Finding the Third Proportional to 48,541 and 64,717

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Solution

The third proportional to 48,541 and 64,717 is: 86,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,541 : 64,717 = 64,717 : x
  2. Step 2: Convert to fraction form
    48,541/64,717 = 64,717/x
  3. Step 3: Cross multiply
    48,541x = 64,717 × 64,717
  4. Step 4: Simplify right side
    48,541x = 4,188,290,089
  5. Step 5: Solve for x
    x = 4,188,290,089/48,541
  6. Step 6: Final answer
    x = 86,283.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.