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Finding the Third Proportional to 10,392.75 and 20,967.75

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Solution

The third proportional to 10,392.75 and 20,967.75 is: 42,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.75 : 20,967.75 = 20,967.75 : x
  2. Step 2: Convert to fraction form
    10,392.75/20,967.75 = 20,967.75/x
  3. Step 3: Cross multiply
    10,392.75x = 20,967.75 × 20,967.75
  4. Step 4: Simplify right side
    10,392.75x = 439,646,540.06
  5. Step 5: Solve for x
    x = 439,646,540.06/10,392.75
  6. Step 6: Final answer
    x = 42,303.20

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.