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Finding the Third Proportional to 24,207 and 33,334.50

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Solution

The third proportional to 24,207 and 33,334.50 is: 45,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207 : 33,334.50 = 33,334.50 : x
  2. Step 2: Convert to fraction form
    24,207/33,334.50 = 33,334.50/x
  3. Step 3: Cross multiply
    24,207x = 33,334.50 × 33,334.50
  4. Step 4: Simplify right side
    24,207x = 1,111,188,890.25
  5. Step 5: Solve for x
    x = 1,111,188,890.25/24,207
  6. Step 6: Final answer
    x = 45,903.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.