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Finding the Third Proportional to 6,145.88 and 10,254.09

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Solution

The third proportional to 6,145.88 and 10,254.09 is: 17,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.88 : 10,254.09 = 10,254.09 : x
  2. Step 2: Convert to fraction form
    6,145.88/10,254.09 = 10,254.09/x
  3. Step 3: Cross multiply
    6,145.88x = 10,254.09 × 10,254.09
  4. Step 4: Simplify right side
    6,145.88x = 105,146,438.63
  5. Step 5: Solve for x
    x = 105,146,438.63/6,145.88
  6. Step 6: Final answer
    x = 17,108.46

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.