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Finding the Third Proportional to 28,984 and 38,284

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Solution

The third proportional to 28,984 and 38,284 is: 50,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,984 : 38,284 = 38,284 : x
  2. Step 2: Convert to fraction form
    28,984/38,284 = 38,284/x
  3. Step 3: Cross multiply
    28,984x = 38,284 × 38,284
  4. Step 4: Simplify right side
    28,984x = 1,465,664,656
  5. Step 5: Solve for x
    x = 1,465,664,656/28,984
  6. Step 6: Final answer
    x = 50,568.06

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.