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Finding the Third Proportional to 27,973 and 42,229.50

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Solution

The third proportional to 27,973 and 42,229.50 is: 63,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,973 : 42,229.50 = 42,229.50 : x
  2. Step 2: Convert to fraction form
    27,973/42,229.50 = 42,229.50/x
  3. Step 3: Cross multiply
    27,973x = 42,229.50 × 42,229.50
  4. Step 4: Simplify right side
    27,973x = 1,783,330,670.25
  5. Step 5: Solve for x
    x = 1,783,330,670.25/27,973
  6. Step 6: Final answer
    x = 63,751.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.