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Finding the Third Proportional to 6,967.50 and 15,023.63

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Solution

The third proportional to 6,967.50 and 15,023.63 is: 32,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.50 : 15,023.63 = 15,023.63 : x
  2. Step 2: Convert to fraction form
    6,967.50/15,023.63 = 15,023.63/x
  3. Step 3: Cross multiply
    6,967.50x = 15,023.63 × 15,023.63
  4. Step 4: Simplify right side
    6,967.50x = 225,709,308.14
  5. Step 5: Solve for x
    x = 225,709,308.14/6,967.50
  6. Step 6: Final answer
    x = 32,394.59

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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.