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Finding the Third Proportional to 13,047.75 and 31,222.13

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Solution

The third proportional to 13,047.75 and 31,222.13 is: 74,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.75 : 31,222.13 = 31,222.13 : x
  2. Step 2: Convert to fraction form
    13,047.75/31,222.13 = 31,222.13/x
  3. Step 3: Cross multiply
    13,047.75x = 31,222.13 × 31,222.13
  4. Step 4: Simplify right side
    13,047.75x = 974,821,089.52
  5. Step 5: Solve for x
    x = 974,821,089.52/13,047.75
  6. Step 6: Final answer
    x = 74,711.82

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.