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Finding the Third Proportional to 18,510.19 and 27,430.31

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Solution

The third proportional to 18,510.19 and 27,430.31 is: 40,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,510.19 : 27,430.31 = 27,430.31 : x
  2. Step 2: Convert to fraction form
    18,510.19/27,430.31 = 27,430.31/x
  3. Step 3: Cross multiply
    18,510.19x = 27,430.31 × 27,430.31
  4. Step 4: Simplify right side
    18,510.19x = 752,422,043.85
  5. Step 5: Solve for x
    x = 752,422,043.85/18,510.19
  6. Step 6: Final answer
    x = 40,649.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.