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Finding the Third Proportional to 24,806 and 37,803

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Solution

The third proportional to 24,806 and 37,803 is: 57,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806 : 37,803 = 37,803 : x
  2. Step 2: Convert to fraction form
    24,806/37,803 = 37,803/x
  3. Step 3: Cross multiply
    24,806x = 37,803 × 37,803
  4. Step 4: Simplify right side
    24,806x = 1,429,066,809
  5. Step 5: Solve for x
    x = 1,429,066,809/24,806
  6. Step 6: Final answer
    x = 57,609.72

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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.