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Finding the Third Proportional to 5,726 and 9,048

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Solution

The third proportional to 5,726 and 9,048 is: 14,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726 : 9,048 = 9,048 : x
  2. Step 2: Convert to fraction form
    5,726/9,048 = 9,048/x
  3. Step 3: Cross multiply
    5,726x = 9,048 × 9,048
  4. Step 4: Simplify right side
    5,726x = 81,866,304
  5. Step 5: Solve for x
    x = 81,866,304/5,726
  6. Step 6: Final answer
    x = 14,297.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.