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Finding the Third Proportional to 9,682.12 and 20,526.75

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Solution

The third proportional to 9,682.12 and 20,526.75 is: 43,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.12 : 20,526.75 = 20,526.75 : x
  2. Step 2: Convert to fraction form
    9,682.12/20,526.75 = 20,526.75/x
  3. Step 3: Cross multiply
    9,682.12x = 20,526.75 × 20,526.75
  4. Step 4: Simplify right side
    9,682.12x = 421,347,533.22
  5. Step 5: Solve for x
    x = 421,347,533.22/9,682.12
  6. Step 6: Final answer
    x = 43,518.11

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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.