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Finding the Third Proportional to 1,546.28 and 2,725.21

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Solution

The third proportional to 1,546.28 and 2,725.21 is: 4,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.28 : 2,725.21 = 2,725.21 : x
  2. Step 2: Convert to fraction form
    1,546.28/2,725.21 = 2,725.21/x
  3. Step 3: Cross multiply
    1,546.28x = 2,725.21 × 2,725.21
  4. Step 4: Simplify right side
    1,546.28x = 7,426,753.36
  5. Step 5: Solve for x
    x = 7,426,753.36/1,546.28
  6. Step 6: Final answer
    x = 4,802.99

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.