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Finding the Third Proportional to 5,714.16 and 7,584.19

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Solution

The third proportional to 5,714.16 and 7,584.19 is: 10,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.16 : 7,584.19 = 7,584.19 : x
  2. Step 2: Convert to fraction form
    5,714.16/7,584.19 = 7,584.19/x
  3. Step 3: Cross multiply
    5,714.16x = 7,584.19 × 7,584.19
  4. Step 4: Simplify right side
    5,714.16x = 57,519,900.04
  5. Step 5: Solve for x
    x = 57,519,900.04/5,714.16
  6. Step 6: Final answer
    x = 10,066.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.