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Finding the Third Proportional to 727.73 and 1,570.64

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Solution

The third proportional to 727.73 and 1,570.64 is: 3,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.73 : 1,570.64 = 1,570.64 : x
  2. Step 2: Convert to fraction form
    727.73/1,570.64 = 1,570.64/x
  3. Step 3: Cross multiply
    727.73x = 1,570.64 × 1,570.64
  4. Step 4: Simplify right side
    727.73x = 2,466,911.97
  5. Step 5: Solve for x
    x = 2,466,911.97/727.73
  6. Step 6: Final answer
    x = 3,389.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.