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Finding the Third Proportional to 27,283.50 and 38,630.25

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Solution

The third proportional to 27,283.50 and 38,630.25 is: 54,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283.50 : 38,630.25 = 38,630.25 : x
  2. Step 2: Convert to fraction form
    27,283.50/38,630.25 = 38,630.25/x
  3. Step 3: Cross multiply
    27,283.50x = 38,630.25 × 38,630.25
  4. Step 4: Simplify right side
    27,283.50x = 1,492,296,215.06
  5. Step 5: Solve for x
    x = 1,492,296,215.06/27,283.50
  6. Step 6: Final answer
    x = 54,695.92

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.