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Finding the Third Proportional to 23,715 and 30,820.50

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Solution

The third proportional to 23,715 and 30,820.50 is: 40,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,715 : 30,820.50 = 30,820.50 : x
  2. Step 2: Convert to fraction form
    23,715/30,820.50 = 30,820.50/x
  3. Step 3: Cross multiply
    23,715x = 30,820.50 × 30,820.50
  4. Step 4: Simplify right side
    23,715x = 949,903,220.25
  5. Step 5: Solve for x
    x = 949,903,220.25/23,715
  6. Step 6: Final answer
    x = 40,054.95

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.