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Finding the Third Proportional to 1,278 and 2,024.25

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Solution

The third proportional to 1,278 and 2,024.25 is: 3,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278 : 2,024.25 = 2,024.25 : x
  2. Step 2: Convert to fraction form
    1,278/2,024.25 = 2,024.25/x
  3. Step 3: Cross multiply
    1,278x = 2,024.25 × 2,024.25
  4. Step 4: Simplify right side
    1,278x = 4,097,588.06
  5. Step 5: Solve for x
    x = 4,097,588.06/1,278
  6. Step 6: Final answer
    x = 3,206.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.