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Finding the Third Proportional to 44,465 and 67,827

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Solution

The third proportional to 44,465 and 67,827 is: 103,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,465 : 67,827 = 67,827 : x
  2. Step 2: Convert to fraction form
    44,465/67,827 = 67,827/x
  3. Step 3: Cross multiply
    44,465x = 67,827 × 67,827
  4. Step 4: Simplify right side
    44,465x = 4,600,501,929
  5. Step 5: Solve for x
    x = 4,600,501,929/44,465
  6. Step 6: Final answer
    x = 103,463.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.