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Finding the Third Proportional to 24,670.50 and 37,620

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Solution

The third proportional to 24,670.50 and 37,620 is: 57,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670.50 : 37,620 = 37,620 : x
  2. Step 2: Convert to fraction form
    24,670.50/37,620 = 37,620/x
  3. Step 3: Cross multiply
    24,670.50x = 37,620 × 37,620
  4. Step 4: Simplify right side
    24,670.50x = 1,415,264,400
  5. Step 5: Solve for x
    x = 1,415,264,400/24,670.50
  6. Step 6: Final answer
    x = 57,366.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.