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Finding the Third Proportional to 30,558 and 66,298.50

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Solution

The third proportional to 30,558 and 66,298.50 is: 143,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,558 : 66,298.50 = 66,298.50 : x
  2. Step 2: Convert to fraction form
    30,558/66,298.50 = 66,298.50/x
  3. Step 3: Cross multiply
    30,558x = 66,298.50 × 66,298.50
  4. Step 4: Simplify right side
    30,558x = 4,395,491,102.25
  5. Step 5: Solve for x
    x = 4,395,491,102.25/30,558
  6. Step 6: Final answer
    x = 143,840.93

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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.