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Finding the Third Proportional to 26,466.50 and 37,620

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Solution

The third proportional to 26,466.50 and 37,620 is: 53,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466.50 : 37,620 = 37,620 : x
  2. Step 2: Convert to fraction form
    26,466.50/37,620 = 37,620/x
  3. Step 3: Cross multiply
    26,466.50x = 37,620 × 37,620
  4. Step 4: Simplify right side
    26,466.50x = 1,415,264,400
  5. Step 5: Solve for x
    x = 1,415,264,400/26,466.50
  6. Step 6: Final answer
    x = 53,473.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.