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Finding the Third Proportional to 6,484.11 and 15,300.46

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Solution

The third proportional to 6,484.11 and 15,300.46 is: 36,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.11 : 15,300.46 = 15,300.46 : x
  2. Step 2: Convert to fraction form
    6,484.11/15,300.46 = 15,300.46/x
  3. Step 3: Cross multiply
    6,484.11x = 15,300.46 × 15,300.46
  4. Step 4: Simplify right side
    6,484.11x = 234,103,985.37
  5. Step 5: Solve for x
    x = 234,103,985.37/6,484.11
  6. Step 6: Final answer
    x = 36,104.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.