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Finding the Third Proportional to 28,680 and 43,627.50

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Solution

The third proportional to 28,680 and 43,627.50 is: 66,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,680 : 43,627.50 = 43,627.50 : x
  2. Step 2: Convert to fraction form
    28,680/43,627.50 = 43,627.50/x
  3. Step 3: Cross multiply
    28,680x = 43,627.50 × 43,627.50
  4. Step 4: Simplify right side
    28,680x = 1,903,358,756.25
  5. Step 5: Solve for x
    x = 1,903,358,756.25/28,680
  6. Step 6: Final answer
    x = 66,365.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.