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Finding the Third Proportional to 18,835 and 27,676.50

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Solution

The third proportional to 18,835 and 27,676.50 is: 40,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,835 : 27,676.50 = 27,676.50 : x
  2. Step 2: Convert to fraction form
    18,835/27,676.50 = 27,676.50/x
  3. Step 3: Cross multiply
    18,835x = 27,676.50 × 27,676.50
  4. Step 4: Simplify right side
    18,835x = 765,988,652.25
  5. Step 5: Solve for x
    x = 765,988,652.25/18,835
  6. Step 6: Final answer
    x = 40,668.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.