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Finding the Third Proportional to 22,616 and 24,344

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Solution

The third proportional to 22,616 and 24,344 is: 26,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616 : 24,344 = 24,344 : x
  2. Step 2: Convert to fraction form
    22,616/24,344 = 24,344/x
  3. Step 3: Cross multiply
    22,616x = 24,344 × 24,344
  4. Step 4: Simplify right side
    22,616x = 592,630,336
  5. Step 5: Solve for x
    x = 592,630,336/22,616
  6. Step 6: Final answer
    x = 26,204.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.