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Finding the Third Proportional to 9,741.52 and 15,182.44

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Solution

The third proportional to 9,741.52 and 15,182.44 is: 23,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.52 : 15,182.44 = 15,182.44 : x
  2. Step 2: Convert to fraction form
    9,741.52/15,182.44 = 15,182.44/x
  3. Step 3: Cross multiply
    9,741.52x = 15,182.44 × 15,182.44
  4. Step 4: Simplify right side
    9,741.52x = 230,506,408.44
  5. Step 5: Solve for x
    x = 230,506,408.44/9,741.52
  6. Step 6: Final answer
    x = 23,662.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.