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Finding the Third Proportional to 22,430 and 47,594

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Solution

The third proportional to 22,430 and 47,594 is: 100,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430 : 47,594 = 47,594 : x
  2. Step 2: Convert to fraction form
    22,430/47,594 = 47,594/x
  3. Step 3: Cross multiply
    22,430x = 47,594 × 47,594
  4. Step 4: Simplify right side
    22,430x = 2,265,188,836
  5. Step 5: Solve for x
    x = 2,265,188,836/22,430
  6. Step 6: Final answer
    x = 100,989.25

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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.