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Finding the Third Proportional to 19,056 and 28,947

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Solution

The third proportional to 19,056 and 28,947 is: 43,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,056 : 28,947 = 28,947 : x
  2. Step 2: Convert to fraction form
    19,056/28,947 = 28,947/x
  3. Step 3: Cross multiply
    19,056x = 28,947 × 28,947
  4. Step 4: Simplify right side
    19,056x = 837,928,809
  5. Step 5: Solve for x
    x = 837,928,809/19,056
  6. Step 6: Final answer
    x = 43,971.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.