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Finding the Third Proportional to 19,576 and 28,052

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Solution

The third proportional to 19,576 and 28,052 is: 40,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576 : 28,052 = 28,052 : x
  2. Step 2: Convert to fraction form
    19,576/28,052 = 28,052/x
  3. Step 3: Cross multiply
    19,576x = 28,052 × 28,052
  4. Step 4: Simplify right side
    19,576x = 786,914,704
  5. Step 5: Solve for x
    x = 786,914,704/19,576
  6. Step 6: Final answer
    x = 40,197.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.