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Finding the Third Proportional to 4,060.69 and 6,460.59

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Solution

The third proportional to 4,060.69 and 6,460.59 is: 10,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,060.69 : 6,460.59 = 6,460.59 : x
  2. Step 2: Convert to fraction form
    4,060.69/6,460.59 = 6,460.59/x
  3. Step 3: Cross multiply
    4,060.69x = 6,460.59 × 6,460.59
  4. Step 4: Simplify right side
    4,060.69x = 41,739,271.60
  5. Step 5: Solve for x
    x = 41,739,271.60/4,060.69
  6. Step 6: Final answer
    x = 10,278.87

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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.