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Finding the Third Proportional to 10,878 and 14,631

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Solution

The third proportional to 10,878 and 14,631 is: 19,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878 : 14,631 = 14,631 : x
  2. Step 2: Convert to fraction form
    10,878/14,631 = 14,631/x
  3. Step 3: Cross multiply
    10,878x = 14,631 × 14,631
  4. Step 4: Simplify right side
    10,878x = 214,066,161
  5. Step 5: Solve for x
    x = 214,066,161/10,878
  6. Step 6: Final answer
    x = 19,678.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.