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Finding the Third Proportional to 18,146 and 28,367

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Solution

The third proportional to 18,146 and 28,367 is: 44,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146 : 28,367 = 28,367 : x
  2. Step 2: Convert to fraction form
    18,146/28,367 = 28,367/x
  3. Step 3: Cross multiply
    18,146x = 28,367 × 28,367
  4. Step 4: Simplify right side
    18,146x = 804,686,689
  5. Step 5: Solve for x
    x = 804,686,689/18,146
  6. Step 6: Final answer
    x = 44,345.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.