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Finding the Third Proportional to 5,038.03 and 10,767.94

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Solution

The third proportional to 5,038.03 and 10,767.94 is: 23,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.03 : 10,767.94 = 10,767.94 : x
  2. Step 2: Convert to fraction form
    5,038.03/10,767.94 = 10,767.94/x
  3. Step 3: Cross multiply
    5,038.03x = 10,767.94 × 10,767.94
  4. Step 4: Simplify right side
    5,038.03x = 115,948,478.00
  5. Step 5: Solve for x
    x = 115,948,478.00/5,038.03
  6. Step 6: Final answer
    x = 23,014.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.