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Finding the Third Proportional to 5,061.75 and 10,673.63

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Solution

The third proportional to 5,061.75 and 10,673.63 is: 22,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.75 : 10,673.63 = 10,673.63 : x
  2. Step 2: Convert to fraction form
    5,061.75/10,673.63 = 10,673.63/x
  3. Step 3: Cross multiply
    5,061.75x = 10,673.63 × 10,673.63
  4. Step 4: Simplify right side
    5,061.75x = 113,926,270.64
  5. Step 5: Solve for x
    x = 113,926,270.64/5,061.75
  6. Step 6: Final answer
    x = 22,507.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.