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Finding the Third Proportional to 10,762.31 and 16,623.56

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Solution

The third proportional to 10,762.31 and 16,623.56 is: 25,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.31 : 16,623.56 = 16,623.56 : x
  2. Step 2: Convert to fraction form
    10,762.31/16,623.56 = 16,623.56/x
  3. Step 3: Cross multiply
    10,762.31x = 16,623.56 × 16,623.56
  4. Step 4: Simplify right side
    10,762.31x = 276,342,830.19
  5. Step 5: Solve for x
    x = 276,342,830.19/10,762.31
  6. Step 6: Final answer
    x = 25,676.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.