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Finding the Third Proportional to 9,404.81 and 14,000.06

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Solution

The third proportional to 9,404.81 and 14,000.06 is: 20,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.81 : 14,000.06 = 14,000.06 : x
  2. Step 2: Convert to fraction form
    9,404.81/14,000.06 = 14,000.06/x
  3. Step 3: Cross multiply
    9,404.81x = 14,000.06 × 14,000.06
  4. Step 4: Simplify right side
    9,404.81x = 196,001,750.00
  5. Step 5: Solve for x
    x = 196,001,750.00/9,404.81
  6. Step 6: Final answer
    x = 20,840.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.