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Finding the Third Proportional to 9,029.81 and 19,623.94

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Solution

The third proportional to 9,029.81 and 19,623.94 is: 42,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.81 : 19,623.94 = 19,623.94 : x
  2. Step 2: Convert to fraction form
    9,029.81/19,623.94 = 19,623.94/x
  3. Step 3: Cross multiply
    9,029.81x = 19,623.94 × 19,623.94
  4. Step 4: Simplify right side
    9,029.81x = 385,098,923.00
  5. Step 5: Solve for x
    x = 385,098,923.00/9,029.81
  6. Step 6: Final answer
    x = 42,647.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.