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Finding the Third Proportional to 28,924 and 43,750

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Solution

The third proportional to 28,924 and 43,750 is: 66,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,924 : 43,750 = 43,750 : x
  2. Step 2: Convert to fraction form
    28,924/43,750 = 43,750/x
  3. Step 3: Cross multiply
    28,924x = 43,750 × 43,750
  4. Step 4: Simplify right side
    28,924x = 1,914,062,500
  5. Step 5: Solve for x
    x = 1,914,062,500/28,924
  6. Step 6: Final answer
    x = 66,175.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.