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Finding the Third Proportional to 22,425 and 47,583

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Solution

The third proportional to 22,425 and 47,583 is: 100,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425 : 47,583 = 47,583 : x
  2. Step 2: Convert to fraction form
    22,425/47,583 = 47,583/x
  3. Step 3: Cross multiply
    22,425x = 47,583 × 47,583
  4. Step 4: Simplify right side
    22,425x = 2,264,141,889
  5. Step 5: Solve for x
    x = 2,264,141,889/22,425
  6. Step 6: Final answer
    x = 100,965.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.