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Finding the Third Proportional to 11,140.03 and 24,205.08

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Solution

The third proportional to 11,140.03 and 24,205.08 is: 52,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.03 : 24,205.08 = 24,205.08 : x
  2. Step 2: Convert to fraction form
    11,140.03/24,205.08 = 24,205.08/x
  3. Step 3: Cross multiply
    11,140.03x = 24,205.08 × 24,205.08
  4. Step 4: Simplify right side
    11,140.03x = 585,885,807.04
  5. Step 5: Solve for x
    x = 585,885,807.04/11,140.03
  6. Step 6: Final answer
    x = 52,592.83

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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.