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Finding the Third Proportional to 22,024 and 47,792

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Solution

The third proportional to 22,024 and 47,792 is: 103,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024 : 47,792 = 47,792 : x
  2. Step 2: Convert to fraction form
    22,024/47,792 = 47,792/x
  3. Step 3: Cross multiply
    22,024x = 47,792 × 47,792
  4. Step 4: Simplify right side
    22,024x = 2,284,075,264
  5. Step 5: Solve for x
    x = 2,284,075,264/22,024
  6. Step 6: Final answer
    x = 103,708.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.