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Finding the Third Proportional to 48,066 and 65,943

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Solution

The third proportional to 48,066 and 65,943 is: 90,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,066 : 65,943 = 65,943 : x
  2. Step 2: Convert to fraction form
    48,066/65,943 = 65,943/x
  3. Step 3: Cross multiply
    48,066x = 65,943 × 65,943
  4. Step 4: Simplify right side
    48,066x = 4,348,479,249
  5. Step 5: Solve for x
    x = 4,348,479,249/48,066
  6. Step 6: Final answer
    x = 90,468.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.