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Finding the Third Proportional to 12,074 and 18,470

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Solution

The third proportional to 12,074 and 18,470 is: 28,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074 : 18,470 = 18,470 : x
  2. Step 2: Convert to fraction form
    12,074/18,470 = 18,470/x
  3. Step 3: Cross multiply
    12,074x = 18,470 × 18,470
  4. Step 4: Simplify right side
    12,074x = 341,140,900
  5. Step 5: Solve for x
    x = 341,140,900/12,074
  6. Step 6: Final answer
    x = 28,254.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.