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Finding the Third Proportional to 29,965.50 and 66,583.50

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Solution

The third proportional to 29,965.50 and 66,583.50 is: 147,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.50 : 66,583.50 = 66,583.50 : x
  2. Step 2: Convert to fraction form
    29,965.50/66,583.50 = 66,583.50/x
  3. Step 3: Cross multiply
    29,965.50x = 66,583.50 × 66,583.50
  4. Step 4: Simplify right side
    29,965.50x = 4,433,362,472.25
  5. Step 5: Solve for x
    x = 4,433,362,472.25/29,965.50
  6. Step 6: Final answer
    x = 147,948.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.