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Finding the Third Proportional to 19,804 and 29,792

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Solution

The third proportional to 19,804 and 29,792 is: 44,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804 : 29,792 = 29,792 : x
  2. Step 2: Convert to fraction form
    19,804/29,792 = 29,792/x
  3. Step 3: Cross multiply
    19,804x = 29,792 × 29,792
  4. Step 4: Simplify right side
    19,804x = 887,563,264
  5. Step 5: Solve for x
    x = 887,563,264/19,804
  6. Step 6: Final answer
    x = 44,817.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.