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Finding the Third Proportional to 569.75 and 1,271.50

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Solution

The third proportional to 569.75 and 1,271.50 is: 2,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 1,271.50 = 1,271.50 : x
  2. Step 2: Convert to fraction form
    569.75/1,271.50 = 1,271.50/x
  3. Step 3: Cross multiply
    569.75x = 1,271.50 × 1,271.50
  4. Step 4: Simplify right side
    569.75x = 1,616,712.25
  5. Step 5: Solve for x
    x = 1,616,712.25/569.75
  6. Step 6: Final answer
    x = 2,837.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.