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Finding the Third Proportional to 15,970.50 and 33,596.25

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Solution

The third proportional to 15,970.50 and 33,596.25 is: 70,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.50 : 33,596.25 = 33,596.25 : x
  2. Step 2: Convert to fraction form
    15,970.50/33,596.25 = 33,596.25/x
  3. Step 3: Cross multiply
    15,970.50x = 33,596.25 × 33,596.25
  4. Step 4: Simplify right side
    15,970.50x = 1,128,708,014.06
  5. Step 5: Solve for x
    x = 1,128,708,014.06/15,970.50
  6. Step 6: Final answer
    x = 70,674.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.