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Finding the Third Proportional to 18,296 and 25,428

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Solution

The third proportional to 18,296 and 25,428 is: 35,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296 : 25,428 = 25,428 : x
  2. Step 2: Convert to fraction form
    18,296/25,428 = 25,428/x
  3. Step 3: Cross multiply
    18,296x = 25,428 × 25,428
  4. Step 4: Simplify right side
    18,296x = 646,583,184
  5. Step 5: Solve for x
    x = 646,583,184/18,296
  6. Step 6: Final answer
    x = 35,340.14

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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.