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Finding the Third Proportional to 23,712 and 38,196

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Solution

The third proportional to 23,712 and 38,196 is: 61,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712 : 38,196 = 38,196 : x
  2. Step 2: Convert to fraction form
    23,712/38,196 = 38,196/x
  3. Step 3: Cross multiply
    23,712x = 38,196 × 38,196
  4. Step 4: Simplify right side
    23,712x = 1,458,934,416
  5. Step 5: Solve for x
    x = 1,458,934,416/23,712
  6. Step 6: Final answer
    x = 61,527.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.