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Finding the Third Proportional to 12,377 and 19,178

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Solution

The third proportional to 12,377 and 19,178 is: 29,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377 : 19,178 = 19,178 : x
  2. Step 2: Convert to fraction form
    12,377/19,178 = 19,178/x
  3. Step 3: Cross multiply
    12,377x = 19,178 × 19,178
  4. Step 4: Simplify right side
    12,377x = 367,795,684
  5. Step 5: Solve for x
    x = 367,795,684/12,377
  6. Step 6: Final answer
    x = 29,716.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.