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Finding the Third Proportional to 2,917.25 and 6,401.63

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Solution

The third proportional to 2,917.25 and 6,401.63 is: 14,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.25 : 6,401.63 = 6,401.63 : x
  2. Step 2: Convert to fraction form
    2,917.25/6,401.63 = 6,401.63/x
  3. Step 3: Cross multiply
    2,917.25x = 6,401.63 × 6,401.63
  4. Step 4: Simplify right side
    2,917.25x = 40,980,802.64
  5. Step 5: Solve for x
    x = 40,980,802.64/2,917.25
  6. Step 6: Final answer
    x = 14,047.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.