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Finding the Third Proportional to 6,440 and 9,040

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Solution

The third proportional to 6,440 and 9,040 is: 12,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440 : 9,040 = 9,040 : x
  2. Step 2: Convert to fraction form
    6,440/9,040 = 9,040/x
  3. Step 3: Cross multiply
    6,440x = 9,040 × 9,040
  4. Step 4: Simplify right side
    6,440x = 81,721,600
  5. Step 5: Solve for x
    x = 81,721,600/6,440
  6. Step 6: Final answer
    x = 12,689.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.