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Finding the Third Proportional to 12,426 and 29,112

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Solution

The third proportional to 12,426 and 29,112 is: 68,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426 : 29,112 = 29,112 : x
  2. Step 2: Convert to fraction form
    12,426/29,112 = 29,112/x
  3. Step 3: Cross multiply
    12,426x = 29,112 × 29,112
  4. Step 4: Simplify right side
    12,426x = 847,508,544
  5. Step 5: Solve for x
    x = 847,508,544/12,426
  6. Step 6: Final answer
    x = 68,204.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.