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Finding the Third Proportional to 3,714.75 and 4,827.38

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Solution

The third proportional to 3,714.75 and 4,827.38 is: 6,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.75 : 4,827.38 = 4,827.38 : x
  2. Step 2: Convert to fraction form
    3,714.75/4,827.38 = 4,827.38/x
  3. Step 3: Cross multiply
    3,714.75x = 4,827.38 × 4,827.38
  4. Step 4: Simplify right side
    3,714.75x = 23,303,549.39
  5. Step 5: Solve for x
    x = 23,303,549.39/3,714.75
  6. Step 6: Final answer
    x = 6,273.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.