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Finding the Third Proportional to 755.58 and 1,167.06

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Solution

The third proportional to 755.58 and 1,167.06 is: 1,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.58 : 1,167.06 = 1,167.06 : x
  2. Step 2: Convert to fraction form
    755.58/1,167.06 = 1,167.06/x
  3. Step 3: Cross multiply
    755.58x = 1,167.06 × 1,167.06
  4. Step 4: Simplify right side
    755.58x = 1,362,039.44
  5. Step 5: Solve for x
    x = 1,362,039.44/755.58
  6. Step 6: Final answer
    x = 1,802.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.