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Finding the Third Proportional to 10,916.49 and 23,389.22

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Solution

The third proportional to 10,916.49 and 23,389.22 is: 50,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.49 : 23,389.22 = 23,389.22 : x
  2. Step 2: Convert to fraction form
    10,916.49/23,389.22 = 23,389.22/x
  3. Step 3: Cross multiply
    10,916.49x = 23,389.22 × 23,389.22
  4. Step 4: Simplify right side
    10,916.49x = 547,055,827.83
  5. Step 5: Solve for x
    x = 547,055,827.83/10,916.49
  6. Step 6: Final answer
    x = 50,112.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.