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Finding the Third Proportional to 48,444 and 65,754

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Solution

The third proportional to 48,444 and 65,754 is: 89,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,444 : 65,754 = 65,754 : x
  2. Step 2: Convert to fraction form
    48,444/65,754 = 65,754/x
  3. Step 3: Cross multiply
    48,444x = 65,754 × 65,754
  4. Step 4: Simplify right side
    48,444x = 4,323,588,516
  5. Step 5: Solve for x
    x = 4,323,588,516/48,444
  6. Step 6: Final answer
    x = 89,249.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.