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Finding the Third Proportional to 485.75 and 1,026.25

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Solution

The third proportional to 485.75 and 1,026.25 is: 2,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.75 : 1,026.25 = 1,026.25 : x
  2. Step 2: Convert to fraction form
    485.75/1,026.25 = 1,026.25/x
  3. Step 3: Cross multiply
    485.75x = 1,026.25 × 1,026.25
  4. Step 4: Simplify right side
    485.75x = 1,053,189.06
  5. Step 5: Solve for x
    x = 1,053,189.06/485.75
  6. Step 6: Final answer
    x = 2,168.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.