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Finding the Third Proportional to 38,118 and 56,623

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Solution

The third proportional to 38,118 and 56,623 is: 84,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,118 : 56,623 = 56,623 : x
  2. Step 2: Convert to fraction form
    38,118/56,623 = 56,623/x
  3. Step 3: Cross multiply
    38,118x = 56,623 × 56,623
  4. Step 4: Simplify right side
    38,118x = 3,206,164,129
  5. Step 5: Solve for x
    x = 3,206,164,129/38,118
  6. Step 6: Final answer
    x = 84,111.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.