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Finding the Third Proportional to 27,719.50 and 42,673

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Solution

The third proportional to 27,719.50 and 42,673 is: 65,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719.50 : 42,673 = 42,673 : x
  2. Step 2: Convert to fraction form
    27,719.50/42,673 = 42,673/x
  3. Step 3: Cross multiply
    27,719.50x = 42,673 × 42,673
  4. Step 4: Simplify right side
    27,719.50x = 1,820,984,929
  5. Step 5: Solve for x
    x = 1,820,984,929/27,719.50
  6. Step 6: Final answer
    x = 65,693.28

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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.