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Finding the Third Proportional to 28,305 and 31,243.50

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Solution

The third proportional to 28,305 and 31,243.50 is: 34,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305 : 31,243.50 = 31,243.50 : x
  2. Step 2: Convert to fraction form
    28,305/31,243.50 = 31,243.50/x
  3. Step 3: Cross multiply
    28,305x = 31,243.50 × 31,243.50
  4. Step 4: Simplify right side
    28,305x = 976,156,292.25
  5. Step 5: Solve for x
    x = 976,156,292.25/28,305
  6. Step 6: Final answer
    x = 34,487.06

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.