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Finding the Third Proportional to 6,494.34 and 10,121.63

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Solution

The third proportional to 6,494.34 and 10,121.63 is: 15,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.34 : 10,121.63 = 10,121.63 : x
  2. Step 2: Convert to fraction form
    6,494.34/10,121.63 = 10,121.63/x
  3. Step 3: Cross multiply
    6,494.34x = 10,121.63 × 10,121.63
  4. Step 4: Simplify right side
    6,494.34x = 102,447,292.64
  5. Step 5: Solve for x
    x = 102,447,292.64/6,494.34
  6. Step 6: Final answer
    x = 15,774.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.