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Finding the Third Proportional to 3,411.49 and 4,898.92

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Solution

The third proportional to 3,411.49 and 4,898.92 is: 7,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.49 : 4,898.92 = 4,898.92 : x
  2. Step 2: Convert to fraction form
    3,411.49/4,898.92 = 4,898.92/x
  3. Step 3: Cross multiply
    3,411.49x = 4,898.92 × 4,898.92
  4. Step 4: Simplify right side
    3,411.49x = 23,999,397.26
  5. Step 5: Solve for x
    x = 23,999,397.26/3,411.49
  6. Step 6: Final answer
    x = 7,034.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.