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Finding the Third Proportional to 727.32 and 1,569.93

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Solution

The third proportional to 727.32 and 1,569.93 is: 3,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.32 : 1,569.93 = 1,569.93 : x
  2. Step 2: Convert to fraction form
    727.32/1,569.93 = 1,569.93/x
  3. Step 3: Cross multiply
    727.32x = 1,569.93 × 1,569.93
  4. Step 4: Simplify right side
    727.32x = 2,464,676.16
  5. Step 5: Solve for x
    x = 2,464,676.16/727.32
  6. Step 6: Final answer
    x = 3,388.70

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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.