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Finding the Third Proportional to 48,968 and 64,668

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Solution

The third proportional to 48,968 and 64,668 is: 85,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,968 : 64,668 = 64,668 : x
  2. Step 2: Convert to fraction form
    48,968/64,668 = 64,668/x
  3. Step 3: Cross multiply
    48,968x = 64,668 × 64,668
  4. Step 4: Simplify right side
    48,968x = 4,181,950,224
  5. Step 5: Solve for x
    x = 4,181,950,224/48,968
  6. Step 6: Final answer
    x = 85,401.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.