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Finding the Third Proportional to 1,401.89 and 2,948.91

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Solution

The third proportional to 1,401.89 and 2,948.91 is: 6,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.89 : 2,948.91 = 2,948.91 : x
  2. Step 2: Convert to fraction form
    1,401.89/2,948.91 = 2,948.91/x
  3. Step 3: Cross multiply
    1,401.89x = 2,948.91 × 2,948.91
  4. Step 4: Simplify right side
    1,401.89x = 8,696,048.07
  5. Step 5: Solve for x
    x = 8,696,048.07/1,401.89
  6. Step 6: Final answer
    x = 6,203.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.