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Finding the Third Proportional to 15,696 and 23,584.50

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Solution

The third proportional to 15,696 and 23,584.50 is: 35,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696 : 23,584.50 = 23,584.50 : x
  2. Step 2: Convert to fraction form
    15,696/23,584.50 = 23,584.50/x
  3. Step 3: Cross multiply
    15,696x = 23,584.50 × 23,584.50
  4. Step 4: Simplify right side
    15,696x = 556,228,640.25
  5. Step 5: Solve for x
    x = 556,228,640.25/15,696
  6. Step 6: Final answer
    x = 35,437.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.