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Finding the Third Proportional to 15,806.63 and 36,668.56

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Solution

The third proportional to 15,806.63 and 36,668.56 is: 85,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.63 : 36,668.56 = 36,668.56 : x
  2. Step 2: Convert to fraction form
    15,806.63/36,668.56 = 36,668.56/x
  3. Step 3: Cross multiply
    15,806.63x = 36,668.56 × 36,668.56
  4. Step 4: Simplify right side
    15,806.63x = 1,344,583,117.73
  5. Step 5: Solve for x
    x = 1,344,583,117.73/15,806.63
  6. Step 6: Final answer
    x = 85,064.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.