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Finding the Third Proportional to 30,366.50 and 66,583

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Solution

The third proportional to 30,366.50 and 66,583 is: 145,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,366.50 : 66,583 = 66,583 : x
  2. Step 2: Convert to fraction form
    30,366.50/66,583 = 66,583/x
  3. Step 3: Cross multiply
    30,366.50x = 66,583 × 66,583
  4. Step 4: Simplify right side
    30,366.50x = 4,433,295,889
  5. Step 5: Solve for x
    x = 4,433,295,889/30,366.50
  6. Step 6: Final answer
    x = 145,992.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.