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Finding the Third Proportional to 7,677 and 17,095

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Solution

The third proportional to 7,677 and 17,095 is: 38,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 17,095 = 17,095 : x
  2. Step 2: Convert to fraction form
    7,677/17,095 = 17,095/x
  3. Step 3: Cross multiply
    7,677x = 17,095 × 17,095
  4. Step 4: Simplify right side
    7,677x = 292,239,025
  5. Step 5: Solve for x
    x = 292,239,025/7,677
  6. Step 6: Final answer
    x = 38,066.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.