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Finding the Third Proportional to 10,916.44 and 19,256.06

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Solution

The third proportional to 10,916.44 and 19,256.06 is: 33,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.44 : 19,256.06 = 19,256.06 : x
  2. Step 2: Convert to fraction form
    10,916.44/19,256.06 = 19,256.06/x
  3. Step 3: Cross multiply
    10,916.44x = 19,256.06 × 19,256.06
  4. Step 4: Simplify right side
    10,916.44x = 370,795,943.00
  5. Step 5: Solve for x
    x = 370,795,943.00/10,916.44
  6. Step 6: Final answer
    x = 33,966.75

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.