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Finding the Third Proportional to 10,098 and 14,126.06

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Solution

The third proportional to 10,098 and 14,126.06 is: 19,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 14,126.06 = 14,126.06 : x
  2. Step 2: Convert to fraction form
    10,098/14,126.06 = 14,126.06/x
  3. Step 3: Cross multiply
    10,098x = 14,126.06 × 14,126.06
  4. Step 4: Simplify right side
    10,098x = 199,545,641.75
  5. Step 5: Solve for x
    x = 199,545,641.75/10,098
  6. Step 6: Final answer
    x = 19,760.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.