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Finding the Third Proportional to 38,324 and 55,998

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Solution

The third proportional to 38,324 and 55,998 is: 81,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324 : 55,998 = 55,998 : x
  2. Step 2: Convert to fraction form
    38,324/55,998 = 55,998/x
  3. Step 3: Cross multiply
    38,324x = 55,998 × 55,998
  4. Step 4: Simplify right side
    38,324x = 3,135,776,004
  5. Step 5: Solve for x
    x = 3,135,776,004/38,324
  6. Step 6: Final answer
    x = 81,822.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.