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Finding the Third Proportional to 10,454.46 and 14,903.21

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Solution

The third proportional to 10,454.46 and 14,903.21 is: 21,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.46 : 14,903.21 = 14,903.21 : x
  2. Step 2: Convert to fraction form
    10,454.46/14,903.21 = 14,903.21/x
  3. Step 3: Cross multiply
    10,454.46x = 14,903.21 × 14,903.21
  4. Step 4: Simplify right side
    10,454.46x = 222,105,638.03
  5. Step 5: Solve for x
    x = 222,105,638.03/10,454.46
  6. Step 6: Final answer
    x = 21,245.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.