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Finding the Third Proportional to 751.25 and 1,110.25

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Solution

The third proportional to 751.25 and 1,110.25 is: 1,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.25 : 1,110.25 = 1,110.25 : x
  2. Step 2: Convert to fraction form
    751.25/1,110.25 = 1,110.25/x
  3. Step 3: Cross multiply
    751.25x = 1,110.25 × 1,110.25
  4. Step 4: Simplify right side
    751.25x = 1,232,655.06
  5. Step 5: Solve for x
    x = 1,232,655.06/751.25
  6. Step 6: Final answer
    x = 1,640.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.