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Finding the Third Proportional to 6,415.13 and 10,184.63

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Solution

The third proportional to 6,415.13 and 10,184.63 is: 16,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.13 : 10,184.63 = 10,184.63 : x
  2. Step 2: Convert to fraction form
    6,415.13/10,184.63 = 10,184.63/x
  3. Step 3: Cross multiply
    6,415.13x = 10,184.63 × 10,184.63
  4. Step 4: Simplify right side
    6,415.13x = 103,726,586.39
  5. Step 5: Solve for x
    x = 103,726,586.39/6,415.13
  6. Step 6: Final answer
    x = 16,169.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.