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Finding the Third Proportional to 10,130.06 and 17,409.94

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Solution

The third proportional to 10,130.06 and 17,409.94 is: 29,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.06 : 17,409.94 = 17,409.94 : x
  2. Step 2: Convert to fraction form
    10,130.06/17,409.94 = 17,409.94/x
  3. Step 3: Cross multiply
    10,130.06x = 17,409.94 × 17,409.94
  4. Step 4: Simplify right side
    10,130.06x = 303,105,923.75
  5. Step 5: Solve for x
    x = 303,105,923.75/10,130.06
  6. Step 6: Final answer
    x = 29,921.43

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.