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Finding the Third Proportional to 9,342.84 and 10,254.09

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Solution

The third proportional to 9,342.84 and 10,254.09 is: 11,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.84 : 10,254.09 = 10,254.09 : x
  2. Step 2: Convert to fraction form
    9,342.84/10,254.09 = 10,254.09/x
  3. Step 3: Cross multiply
    9,342.84x = 10,254.09 × 10,254.09
  4. Step 4: Simplify right side
    9,342.84x = 105,146,438.63
  5. Step 5: Solve for x
    x = 105,146,438.63/9,342.84
  6. Step 6: Final answer
    x = 11,254.22

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.