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Finding the Third Proportional to 30,378.25 and 45,566.75

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Solution

The third proportional to 30,378.25 and 45,566.75 is: 68,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.25 : 45,566.75 = 45,566.75 : x
  2. Step 2: Convert to fraction form
    30,378.25/45,566.75 = 45,566.75/x
  3. Step 3: Cross multiply
    30,378.25x = 45,566.75 × 45,566.75
  4. Step 4: Simplify right side
    30,378.25x = 2,076,328,705.56
  5. Step 5: Solve for x
    x = 2,076,328,705.56/30,378.25
  6. Step 6: Final answer
    x = 68,349.19

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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.