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Finding the Third Proportional to 1,490.70 and 3,226.92

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Solution

The third proportional to 1,490.70 and 3,226.92 is: 6,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.70 : 3,226.92 = 3,226.92 : x
  2. Step 2: Convert to fraction form
    1,490.70/3,226.92 = 3,226.92/x
  3. Step 3: Cross multiply
    1,490.70x = 3,226.92 × 3,226.92
  4. Step 4: Simplify right side
    1,490.70x = 10,413,024.79
  5. Step 5: Solve for x
    x = 10,413,024.79/1,490.70
  6. Step 6: Final answer
    x = 6,985.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.