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Finding the Third Proportional to 8,110 and 19,095

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Solution

The third proportional to 8,110 and 19,095 is: 44,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110 : 19,095 = 19,095 : x
  2. Step 2: Convert to fraction form
    8,110/19,095 = 19,095/x
  3. Step 3: Cross multiply
    8,110x = 19,095 × 19,095
  4. Step 4: Simplify right side
    8,110x = 364,619,025
  5. Step 5: Solve for x
    x = 364,619,025/8,110
  6. Step 6: Final answer
    x = 44,959.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.