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Finding the Third Proportional to 4,040 and 6,488

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Solution

The third proportional to 4,040 and 6,488 is: 10,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040 : 6,488 = 6,488 : x
  2. Step 2: Convert to fraction form
    4,040/6,488 = 6,488/x
  3. Step 3: Cross multiply
    4,040x = 6,488 × 6,488
  4. Step 4: Simplify right side
    4,040x = 42,094,144
  5. Step 5: Solve for x
    x = 42,094,144/4,040
  6. Step 6: Final answer
    x = 10,419.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.