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Finding the Third Proportional to 23,860.50 and 30,276

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Solution

The third proportional to 23,860.50 and 30,276 is: 38,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,860.50 : 30,276 = 30,276 : x
  2. Step 2: Convert to fraction form
    23,860.50/30,276 = 30,276/x
  3. Step 3: Cross multiply
    23,860.50x = 30,276 × 30,276
  4. Step 4: Simplify right side
    23,860.50x = 916,636,176
  5. Step 5: Solve for x
    x = 916,636,176/23,860.50
  6. Step 6: Final answer
    x = 38,416.47

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.