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Finding the Third Proportional to 19,792 and 31,560

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Solution

The third proportional to 19,792 and 31,560 is: 50,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792 : 31,560 = 31,560 : x
  2. Step 2: Convert to fraction form
    19,792/31,560 = 31,560/x
  3. Step 3: Cross multiply
    19,792x = 31,560 × 31,560
  4. Step 4: Simplify right side
    19,792x = 996,033,600
  5. Step 5: Solve for x
    x = 996,033,600/19,792
  6. Step 6: Final answer
    x = 50,325.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.