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Finding the Third Proportional to 18,430.69 and 27,821.06

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Solution

The third proportional to 18,430.69 and 27,821.06 is: 41,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,430.69 : 27,821.06 = 27,821.06 : x
  2. Step 2: Convert to fraction form
    18,430.69/27,821.06 = 27,821.06/x
  3. Step 3: Cross multiply
    18,430.69x = 27,821.06 × 27,821.06
  4. Step 4: Simplify right side
    18,430.69x = 774,011,518.63
  5. Step 5: Solve for x
    x = 774,011,518.63/18,430.69
  6. Step 6: Final answer
    x = 41,995.80

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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.