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Finding the Third Proportional to 16,364.63 and 25,022.63

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Solution

The third proportional to 16,364.63 and 25,022.63 is: 38,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.63 : 25,022.63 = 25,022.63 : x
  2. Step 2: Convert to fraction form
    16,364.63/25,022.63 = 25,022.63/x
  3. Step 3: Cross multiply
    16,364.63x = 25,022.63 × 25,022.63
  4. Step 4: Simplify right side
    16,364.63x = 626,131,761.89
  5. Step 5: Solve for x
    x = 626,131,761.89/16,364.63
  6. Step 6: Final answer
    x = 38,261.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.