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Finding the Third Proportional to 14,315.50 and 31,538

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Solution

The third proportional to 14,315.50 and 31,538 is: 69,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.50 : 31,538 = 31,538 : x
  2. Step 2: Convert to fraction form
    14,315.50/31,538 = 31,538/x
  3. Step 3: Cross multiply
    14,315.50x = 31,538 × 31,538
  4. Step 4: Simplify right side
    14,315.50x = 994,645,444
  5. Step 5: Solve for x
    x = 994,645,444/14,315.50
  6. Step 6: Final answer
    x = 69,480.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.