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Finding the Third Proportional to 10,075 and 14,818

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Solution

The third proportional to 10,075 and 14,818 is: 21,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075 : 14,818 = 14,818 : x
  2. Step 2: Convert to fraction form
    10,075/14,818 = 14,818/x
  3. Step 3: Cross multiply
    10,075x = 14,818 × 14,818
  4. Step 4: Simplify right side
    10,075x = 219,573,124
  5. Step 5: Solve for x
    x = 219,573,124/10,075
  6. Step 6: Final answer
    x = 21,793.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.