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Finding the Third Proportional to 24,212 and 38,046

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Solution

The third proportional to 24,212 and 38,046 is: 59,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212 : 38,046 = 38,046 : x
  2. Step 2: Convert to fraction form
    24,212/38,046 = 38,046/x
  3. Step 3: Cross multiply
    24,212x = 38,046 × 38,046
  4. Step 4: Simplify right side
    24,212x = 1,447,498,116
  5. Step 5: Solve for x
    x = 1,447,498,116/24,212
  6. Step 6: Final answer
    x = 59,784.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.