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Finding the Third Proportional to 37,672 and 55,356

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Solution

The third proportional to 37,672 and 55,356 is: 81,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,672 : 55,356 = 55,356 : x
  2. Step 2: Convert to fraction form
    37,672/55,356 = 55,356/x
  3. Step 3: Cross multiply
    37,672x = 55,356 × 55,356
  4. Step 4: Simplify right side
    37,672x = 3,064,286,736
  5. Step 5: Solve for x
    x = 3,064,286,736/37,672
  6. Step 6: Final answer
    x = 81,341.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.