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Finding the Third Proportional to 22,100.63 and 47,705.63

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Solution

The third proportional to 22,100.63 and 47,705.63 is: 102,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100.63 : 47,705.63 = 47,705.63 : x
  2. Step 2: Convert to fraction form
    22,100.63/47,705.63 = 47,705.63/x
  3. Step 3: Cross multiply
    22,100.63x = 47,705.63 × 47,705.63
  4. Step 4: Simplify right side
    22,100.63x = 2,275,826,656.64
  5. Step 5: Solve for x
    x = 2,275,826,656.64/22,100.63
  6. Step 6: Final answer
    x = 102,975.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.