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Finding the Third Proportional to 30,047.25 and 43,521.75

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Solution

The third proportional to 30,047.25 and 43,521.75 is: 63,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.25 : 43,521.75 = 43,521.75 : x
  2. Step 2: Convert to fraction form
    30,047.25/43,521.75 = 43,521.75/x
  3. Step 3: Cross multiply
    30,047.25x = 43,521.75 × 43,521.75
  4. Step 4: Simplify right side
    30,047.25x = 1,894,142,723.06
  5. Step 5: Solve for x
    x = 1,894,142,723.06/30,047.25
  6. Step 6: Final answer
    x = 63,038.80

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.