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Finding the Third Proportional to 14,962 and 23,470

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Solution

The third proportional to 14,962 and 23,470 is: 36,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962 : 23,470 = 23,470 : x
  2. Step 2: Convert to fraction form
    14,962/23,470 = 23,470/x
  3. Step 3: Cross multiply
    14,962x = 23,470 × 23,470
  4. Step 4: Simplify right side
    14,962x = 550,840,900
  5. Step 5: Solve for x
    x = 550,840,900/14,962
  6. Step 6: Final answer
    x = 36,815.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.