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Finding the Third Proportional to 9,149.63 and 15,143.63

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Solution

The third proportional to 9,149.63 and 15,143.63 is: 25,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.63 : 15,143.63 = 15,143.63 : x
  2. Step 2: Convert to fraction form
    9,149.63/15,143.63 = 15,143.63/x
  3. Step 3: Cross multiply
    9,149.63x = 15,143.63 × 15,143.63
  4. Step 4: Simplify right side
    9,149.63x = 229,329,378.14
  5. Step 5: Solve for x
    x = 229,329,378.14/9,149.63
  6. Step 6: Final answer
    x = 25,064.35

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.