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Finding the Third Proportional to 22,388 and 47,075

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Solution

The third proportional to 22,388 and 47,075 is: 98,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,388 : 47,075 = 47,075 : x
  2. Step 2: Convert to fraction form
    22,388/47,075 = 47,075/x
  3. Step 3: Cross multiply
    22,388x = 47,075 × 47,075
  4. Step 4: Simplify right side
    22,388x = 2,216,055,625
  5. Step 5: Solve for x
    x = 2,216,055,625/22,388
  6. Step 6: Final answer
    x = 98,984.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.