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Finding the Third Proportional to 19,962 and 31,034.25

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Solution

The third proportional to 19,962 and 31,034.25 is: 48,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,962 : 31,034.25 = 31,034.25 : x
  2. Step 2: Convert to fraction form
    19,962/31,034.25 = 31,034.25/x
  3. Step 3: Cross multiply
    19,962x = 31,034.25 × 31,034.25
  4. Step 4: Simplify right side
    19,962x = 963,124,673.06
  5. Step 5: Solve for x
    x = 963,124,673.06/19,962
  6. Step 6: Final answer
    x = 48,247.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.