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Finding the Third Proportional to 30,441 and 66,052.50

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Solution

The third proportional to 30,441 and 66,052.50 is: 143,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441 : 66,052.50 = 66,052.50 : x
  2. Step 2: Convert to fraction form
    30,441/66,052.50 = 66,052.50/x
  3. Step 3: Cross multiply
    30,441x = 66,052.50 × 66,052.50
  4. Step 4: Simplify right side
    30,441x = 4,362,932,756.25
  5. Step 5: Solve for x
    x = 4,362,932,756.25/30,441
  6. Step 6: Final answer
    x = 143,324.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.