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Finding the Third Proportional to 28,851.50 and 45,647

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Solution

The third proportional to 28,851.50 and 45,647 is: 72,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,851.50 : 45,647 = 45,647 : x
  2. Step 2: Convert to fraction form
    28,851.50/45,647 = 45,647/x
  3. Step 3: Cross multiply
    28,851.50x = 45,647 × 45,647
  4. Step 4: Simplify right side
    28,851.50x = 2,083,648,609
  5. Step 5: Solve for x
    x = 2,083,648,609/28,851.50
  6. Step 6: Final answer
    x = 72,219.77

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.