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Finding the Third Proportional to 24,590 and 37,821

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Solution

The third proportional to 24,590 and 37,821 is: 58,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,590 : 37,821 = 37,821 : x
  2. Step 2: Convert to fraction form
    24,590/37,821 = 37,821/x
  3. Step 3: Cross multiply
    24,590x = 37,821 × 37,821
  4. Step 4: Simplify right side
    24,590x = 1,430,428,041
  5. Step 5: Solve for x
    x = 1,430,428,041/24,590
  6. Step 6: Final answer
    x = 58,171.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.