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Finding the Third Proportional to 9,714.94 and 11,562.75

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Solution

The third proportional to 9,714.94 and 11,562.75 is: 13,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.94 : 11,562.75 = 11,562.75 : x
  2. Step 2: Convert to fraction form
    9,714.94/11,562.75 = 11,562.75/x
  3. Step 3: Cross multiply
    9,714.94x = 11,562.75 × 11,562.75
  4. Step 4: Simplify right side
    9,714.94x = 133,697,187.56
  5. Step 5: Solve for x
    x = 133,697,187.56/9,714.94
  6. Step 6: Final answer
    x = 13,762.02

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.