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Finding the Third Proportional to 12,434 and 25,492

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Solution

The third proportional to 12,434 and 25,492 is: 52,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434 : 25,492 = 25,492 : x
  2. Step 2: Convert to fraction form
    12,434/25,492 = 25,492/x
  3. Step 3: Cross multiply
    12,434x = 25,492 × 25,492
  4. Step 4: Simplify right side
    12,434x = 649,842,064
  5. Step 5: Solve for x
    x = 649,842,064/12,434
  6. Step 6: Final answer
    x = 52,263.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.