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Finding the Third Proportional to 2,488.22 and 5,389.03

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Solution

The third proportional to 2,488.22 and 5,389.03 is: 11,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.22 : 5,389.03 = 5,389.03 : x
  2. Step 2: Convert to fraction form
    2,488.22/5,389.03 = 5,389.03/x
  3. Step 3: Cross multiply
    2,488.22x = 5,389.03 × 5,389.03
  4. Step 4: Simplify right side
    2,488.22x = 29,041,657.81
  5. Step 5: Solve for x
    x = 29,041,657.81/2,488.22
  6. Step 6: Final answer
    x = 11,671.67

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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.