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Finding the Third Proportional to 4,132.69 and 6,415.03

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Solution

The third proportional to 4,132.69 and 6,415.03 is: 9,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.69 : 6,415.03 = 6,415.03 : x
  2. Step 2: Convert to fraction form
    4,132.69/6,415.03 = 6,415.03/x
  3. Step 3: Cross multiply
    4,132.69x = 6,415.03 × 6,415.03
  4. Step 4: Simplify right side
    4,132.69x = 41,152,625.94
  5. Step 5: Solve for x
    x = 41,152,625.94/4,132.69
  6. Step 6: Final answer
    x = 9,957.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.