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Finding the Third Proportional to 3,184 and 4,748

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Solution

The third proportional to 3,184 and 4,748 is: 7,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 4,748 = 4,748 : x
  2. Step 2: Convert to fraction form
    3,184/4,748 = 4,748/x
  3. Step 3: Cross multiply
    3,184x = 4,748 × 4,748
  4. Step 4: Simplify right side
    3,184x = 22,543,504
  5. Step 5: Solve for x
    x = 22,543,504/3,184
  6. Step 6: Final answer
    x = 7,080.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.