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Finding the Third Proportional to 18,254 and 25,432

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Solution

The third proportional to 18,254 and 25,432 is: 35,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,254 : 25,432 = 25,432 : x
  2. Step 2: Convert to fraction form
    18,254/25,432 = 25,432/x
  3. Step 3: Cross multiply
    18,254x = 25,432 × 25,432
  4. Step 4: Simplify right side
    18,254x = 646,786,624
  5. Step 5: Solve for x
    x = 646,786,624/18,254
  6. Step 6: Final answer
    x = 35,432.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.