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Finding the Third Proportional to 9,878 and 10,958

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Solution

The third proportional to 9,878 and 10,958 is: 12,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878 : 10,958 = 10,958 : x
  2. Step 2: Convert to fraction form
    9,878/10,958 = 10,958/x
  3. Step 3: Cross multiply
    9,878x = 10,958 × 10,958
  4. Step 4: Simplify right side
    9,878x = 120,077,764
  5. Step 5: Solve for x
    x = 120,077,764/9,878
  6. Step 6: Final answer
    x = 12,156.08

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.