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Finding the Third Proportional to 24,367.50 and 41,202

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Solution

The third proportional to 24,367.50 and 41,202 is: 69,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,367.50 : 41,202 = 41,202 : x
  2. Step 2: Convert to fraction form
    24,367.50/41,202 = 41,202/x
  3. Step 3: Cross multiply
    24,367.50x = 41,202 × 41,202
  4. Step 4: Simplify right side
    24,367.50x = 1,697,604,804
  5. Step 5: Solve for x
    x = 1,697,604,804/24,367.50
  6. Step 6: Final answer
    x = 69,666.76

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.