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Finding the Third Proportional to 755.25 and 1,547.63

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Solution

The third proportional to 755.25 and 1,547.63 is: 3,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.25 : 1,547.63 = 1,547.63 : x
  2. Step 2: Convert to fraction form
    755.25/1,547.63 = 1,547.63/x
  3. Step 3: Cross multiply
    755.25x = 1,547.63 × 1,547.63
  4. Step 4: Simplify right side
    755.25x = 2,395,143.14
  5. Step 5: Solve for x
    x = 2,395,143.14/755.25
  6. Step 6: Final answer
    x = 3,171.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.