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Finding the Third Proportional to 30,438.70 and 41,466.30

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Solution

The third proportional to 30,438.70 and 41,466.30 is: 56,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.70 : 41,466.30 = 41,466.30 : x
  2. Step 2: Convert to fraction form
    30,438.70/41,466.30 = 41,466.30/x
  3. Step 3: Cross multiply
    30,438.70x = 41,466.30 × 41,466.30
  4. Step 4: Simplify right side
    30,438.70x = 1,719,454,424.44
  5. Step 5: Solve for x
    x = 1,719,454,424.44/30,438.70
  6. Step 6: Final answer
    x = 56,489.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.