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Finding the Third Proportional to 18,348 and 28,826

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Solution

The third proportional to 18,348 and 28,826 is: 45,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,348 : 28,826 = 28,826 : x
  2. Step 2: Convert to fraction form
    18,348/28,826 = 28,826/x
  3. Step 3: Cross multiply
    18,348x = 28,826 × 28,826
  4. Step 4: Simplify right side
    18,348x = 830,938,276
  5. Step 5: Solve for x
    x = 830,938,276/18,348
  6. Step 6: Final answer
    x = 45,287.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.