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Finding the Third Proportional to 48,072 and 65,951

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Solution

The third proportional to 48,072 and 65,951 is: 90,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,072 : 65,951 = 65,951 : x
  2. Step 2: Convert to fraction form
    48,072/65,951 = 65,951/x
  3. Step 3: Cross multiply
    48,072x = 65,951 × 65,951
  4. Step 4: Simplify right side
    48,072x = 4,349,534,401
  5. Step 5: Solve for x
    x = 4,349,534,401/48,072
  6. Step 6: Final answer
    x = 90,479.58

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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.