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Finding the Third Proportional to 10,019.30 and 22,028.04

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Solution

The third proportional to 10,019.30 and 22,028.04 is: 48,430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.30 : 22,028.04 = 22,028.04 : x
  2. Step 2: Convert to fraction form
    10,019.30/22,028.04 = 22,028.04/x
  3. Step 3: Cross multiply
    10,019.30x = 22,028.04 × 22,028.04
  4. Step 4: Simplify right side
    10,019.30x = 485,234,763.08
  5. Step 5: Solve for x
    x = 485,234,763.08/10,019.30
  6. Step 6: Final answer
    x = 48,430.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.