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Finding the Third Proportional to 20,396.81 and 30,407.06

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Solution

The third proportional to 20,396.81 and 30,407.06 is: 45,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,396.81 : 30,407.06 = 30,407.06 : x
  2. Step 2: Convert to fraction form
    20,396.81/30,407.06 = 30,407.06/x
  3. Step 3: Cross multiply
    20,396.81x = 30,407.06 × 30,407.06
  4. Step 4: Simplify right side
    20,396.81x = 924,589,449.88
  5. Step 5: Solve for x
    x = 924,589,449.88/20,396.81
  6. Step 6: Final answer
    x = 45,330.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.