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Finding the Third Proportional to 12,298 and 19,095

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Solution

The third proportional to 12,298 and 19,095 is: 29,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298 : 19,095 = 19,095 : x
  2. Step 2: Convert to fraction form
    12,298/19,095 = 19,095/x
  3. Step 3: Cross multiply
    12,298x = 19,095 × 19,095
  4. Step 4: Simplify right side
    12,298x = 364,619,025
  5. Step 5: Solve for x
    x = 364,619,025/12,298
  6. Step 6: Final answer
    x = 29,648.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.