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Finding the Third Proportional to 23,207 and 37,366.50

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Solution

The third proportional to 23,207 and 37,366.50 is: 60,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207 : 37,366.50 = 37,366.50 : x
  2. Step 2: Convert to fraction form
    23,207/37,366.50 = 37,366.50/x
  3. Step 3: Cross multiply
    23,207x = 37,366.50 × 37,366.50
  4. Step 4: Simplify right side
    23,207x = 1,396,255,322.25
  5. Step 5: Solve for x
    x = 1,396,255,322.25/23,207
  6. Step 6: Final answer
    x = 60,165.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.