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Finding the Third Proportional to 7,023.94 and 15,080.63

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Solution

The third proportional to 7,023.94 and 15,080.63 is: 32,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.94 : 15,080.63 = 15,080.63 : x
  2. Step 2: Convert to fraction form
    7,023.94/15,080.63 = 15,080.63/x
  3. Step 3: Cross multiply
    7,023.94x = 15,080.63 × 15,080.63
  4. Step 4: Simplify right side
    7,023.94x = 227,425,250.39
  5. Step 5: Solve for x
    x = 227,425,250.39/7,023.94
  6. Step 6: Final answer
    x = 32,378.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.