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Finding the Third Proportional to 12,234 and 22,596

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Solution

The third proportional to 12,234 and 22,596 is: 41,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234 : 22,596 = 22,596 : x
  2. Step 2: Convert to fraction form
    12,234/22,596 = 22,596/x
  3. Step 3: Cross multiply
    12,234x = 22,596 × 22,596
  4. Step 4: Simplify right side
    12,234x = 510,579,216
  5. Step 5: Solve for x
    x = 510,579,216/12,234
  6. Step 6: Final answer
    x = 41,734.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.