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Finding the Third Proportional to 37,859.63 and 80,330.63

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Solution

The third proportional to 37,859.63 and 80,330.63 is: 170,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,859.63 : 80,330.63 = 80,330.63 : x
  2. Step 2: Convert to fraction form
    37,859.63/80,330.63 = 80,330.63/x
  3. Step 3: Cross multiply
    37,859.63x = 80,330.63 × 80,330.63
  4. Step 4: Simplify right side
    37,859.63x = 6,453,009,312.89
  5. Step 5: Solve for x
    x = 6,453,009,312.89/37,859.63
  6. Step 6: Final answer
    x = 170,445.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.