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Finding the Third Proportional to 4,677.75 and 11,043

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Solution

The third proportional to 4,677.75 and 11,043 is: 26,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.75 : 11,043 = 11,043 : x
  2. Step 2: Convert to fraction form
    4,677.75/11,043 = 11,043/x
  3. Step 3: Cross multiply
    4,677.75x = 11,043 × 11,043
  4. Step 4: Simplify right side
    4,677.75x = 121,947,849
  5. Step 5: Solve for x
    x = 121,947,849/4,677.75
  6. Step 6: Final answer
    x = 26,069.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.