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Finding the Third Proportional to 19,972 and 30,564

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Solution

The third proportional to 19,972 and 30,564 is: 46,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972 : 30,564 = 30,564 : x
  2. Step 2: Convert to fraction form
    19,972/30,564 = 30,564/x
  3. Step 3: Cross multiply
    19,972x = 30,564 × 30,564
  4. Step 4: Simplify right side
    19,972x = 934,158,096
  5. Step 5: Solve for x
    x = 934,158,096/19,972
  6. Step 6: Final answer
    x = 46,773.39

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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.