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Finding the Third Proportional to 11,630.25 and 25,241.63

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Solution

The third proportional to 11,630.25 and 25,241.63 is: 54,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.25 : 25,241.63 = 25,241.63 : x
  2. Step 2: Convert to fraction form
    11,630.25/25,241.63 = 25,241.63/x
  3. Step 3: Cross multiply
    11,630.25x = 25,241.63 × 25,241.63
  4. Step 4: Simplify right side
    11,630.25x = 637,139,632.64
  5. Step 5: Solve for x
    x = 637,139,632.64/11,630.25
  6. Step 6: Final answer
    x = 54,782.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.