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Finding the Third Proportional to 4,824 and 11,391.75

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Solution

The third proportional to 4,824 and 11,391.75 is: 26,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824 : 11,391.75 = 11,391.75 : x
  2. Step 2: Convert to fraction form
    4,824/11,391.75 = 11,391.75/x
  3. Step 3: Cross multiply
    4,824x = 11,391.75 × 11,391.75
  4. Step 4: Simplify right side
    4,824x = 129,771,968.06
  5. Step 5: Solve for x
    x = 129,771,968.06/4,824
  6. Step 6: Final answer
    x = 26,901.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.