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Finding the Third Proportional to 27,723.50 and 42,610

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Solution

The third proportional to 27,723.50 and 42,610 is: 65,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723.50 : 42,610 = 42,610 : x
  2. Step 2: Convert to fraction form
    27,723.50/42,610 = 42,610/x
  3. Step 3: Cross multiply
    27,723.50x = 42,610 × 42,610
  4. Step 4: Simplify right side
    27,723.50x = 1,815,612,100
  5. Step 5: Solve for x
    x = 1,815,612,100/27,723.50
  6. Step 6: Final answer
    x = 65,490.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.