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Finding the Third Proportional to 5,714.30 and 7,643.11

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Solution

The third proportional to 5,714.30 and 7,643.11 is: 10,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.30 : 7,643.11 = 7,643.11 : x
  2. Step 2: Convert to fraction form
    5,714.30/7,643.11 = 7,643.11/x
  3. Step 3: Cross multiply
    5,714.30x = 7,643.11 × 7,643.11
  4. Step 4: Simplify right side
    5,714.30x = 58,417,120.92
  5. Step 5: Solve for x
    x = 58,417,120.92/5,714.30
  6. Step 6: Final answer
    x = 10,222.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.