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Finding the Third Proportional to 18,301.50 and 25,701.75

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Solution

The third proportional to 18,301.50 and 25,701.75 is: 36,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,301.50 : 25,701.75 = 25,701.75 : x
  2. Step 2: Convert to fraction form
    18,301.50/25,701.75 = 25,701.75/x
  3. Step 3: Cross multiply
    18,301.50x = 25,701.75 × 25,701.75
  4. Step 4: Simplify right side
    18,301.50x = 660,579,953.06
  5. Step 5: Solve for x
    x = 660,579,953.06/18,301.50
  6. Step 6: Final answer
    x = 36,094.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.