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Finding the Third Proportional to 7,048 and 10,746

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Solution

The third proportional to 7,048 and 10,746 is: 16,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048 : 10,746 = 10,746 : x
  2. Step 2: Convert to fraction form
    7,048/10,746 = 10,746/x
  3. Step 3: Cross multiply
    7,048x = 10,746 × 10,746
  4. Step 4: Simplify right side
    7,048x = 115,476,516
  5. Step 5: Solve for x
    x = 115,476,516/7,048
  6. Step 6: Final answer
    x = 16,384.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.