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Finding the Third Proportional to 22,697 and 46,397

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Solution

The third proportional to 22,697 and 46,397 is: 94,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697 : 46,397 = 46,397 : x
  2. Step 2: Convert to fraction form
    22,697/46,397 = 46,397/x
  3. Step 3: Cross multiply
    22,697x = 46,397 × 46,397
  4. Step 4: Simplify right side
    22,697x = 2,152,681,609
  5. Step 5: Solve for x
    x = 2,152,681,609/22,697
  6. Step 6: Final answer
    x = 94,844.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.