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Finding the Third Proportional to 9,714 and 11,154

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Solution

The third proportional to 9,714 and 11,154 is: 12,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714 : 11,154 = 11,154 : x
  2. Step 2: Convert to fraction form
    9,714/11,154 = 11,154/x
  3. Step 3: Cross multiply
    9,714x = 11,154 × 11,154
  4. Step 4: Simplify right side
    9,714x = 124,411,716
  5. Step 5: Solve for x
    x = 124,411,716/9,714
  6. Step 6: Final answer
    x = 12,807.47

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.