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Finding the Third Proportional to 12,072 and 20,575.50

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Solution

The third proportional to 12,072 and 20,575.50 is: 35,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072 : 20,575.50 = 20,575.50 : x
  2. Step 2: Convert to fraction form
    12,072/20,575.50 = 20,575.50/x
  3. Step 3: Cross multiply
    12,072x = 20,575.50 × 20,575.50
  4. Step 4: Simplify right side
    12,072x = 423,351,200.25
  5. Step 5: Solve for x
    x = 423,351,200.25/12,072
  6. Step 6: Final answer
    x = 35,068.85

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.