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Finding the Third Proportional to 30,400 and 45,478.50

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Solution

The third proportional to 30,400 and 45,478.50 is: 68,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400 : 45,478.50 = 45,478.50 : x
  2. Step 2: Convert to fraction form
    30,400/45,478.50 = 45,478.50/x
  3. Step 3: Cross multiply
    30,400x = 45,478.50 × 45,478.50
  4. Step 4: Simplify right side
    30,400x = 2,068,293,962.25
  5. Step 5: Solve for x
    x = 2,068,293,962.25/30,400
  6. Step 6: Final answer
    x = 68,035.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.