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Finding the Third Proportional to 12,071.50 and 18,653.50

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Solution

The third proportional to 12,071.50 and 18,653.50 is: 28,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.50 : 18,653.50 = 18,653.50 : x
  2. Step 2: Convert to fraction form
    12,071.50/18,653.50 = 18,653.50/x
  3. Step 3: Cross multiply
    12,071.50x = 18,653.50 × 18,653.50
  4. Step 4: Simplify right side
    12,071.50x = 347,953,062.25
  5. Step 5: Solve for x
    x = 347,953,062.25/12,071.50
  6. Step 6: Final answer
    x = 28,824.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.