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Finding the Third Proportional to 10,419.75 and 14,889.38

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Solution

The third proportional to 10,419.75 and 14,889.38 is: 21,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.75 : 14,889.38 = 14,889.38 : x
  2. Step 2: Convert to fraction form
    10,419.75/14,889.38 = 14,889.38/x
  3. Step 3: Cross multiply
    10,419.75x = 14,889.38 × 14,889.38
  4. Step 4: Simplify right side
    10,419.75x = 221,693,487.89
  5. Step 5: Solve for x
    x = 221,693,487.89/10,419.75
  6. Step 6: Final answer
    x = 21,276.28

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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.