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Finding the Third Proportional to 4,889 and 10,716.25

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Solution

The third proportional to 4,889 and 10,716.25 is: 23,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889 : 10,716.25 = 10,716.25 : x
  2. Step 2: Convert to fraction form
    4,889/10,716.25 = 10,716.25/x
  3. Step 3: Cross multiply
    4,889x = 10,716.25 × 10,716.25
  4. Step 4: Simplify right side
    4,889x = 114,838,014.06
  5. Step 5: Solve for x
    x = 114,838,014.06/4,889
  6. Step 6: Final answer
    x = 23,489.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.