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Finding the Third Proportional to 15,405.19 and 23,274.84

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Solution

The third proportional to 15,405.19 and 23,274.84 is: 35,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.19 : 23,274.84 = 23,274.84 : x
  2. Step 2: Convert to fraction form
    15,405.19/23,274.84 = 23,274.84/x
  3. Step 3: Cross multiply
    15,405.19x = 23,274.84 × 23,274.84
  4. Step 4: Simplify right side
    15,405.19x = 541,718,351.59
  5. Step 5: Solve for x
    x = 541,718,351.59/15,405.19
  6. Step 6: Final answer
    x = 35,164.67

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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.