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Finding the Third Proportional to 17,536.50 and 38,360.25

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Solution

The third proportional to 17,536.50 and 38,360.25 is: 83,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.50 : 38,360.25 = 38,360.25 : x
  2. Step 2: Convert to fraction form
    17,536.50/38,360.25 = 38,360.25/x
  3. Step 3: Cross multiply
    17,536.50x = 38,360.25 × 38,360.25
  4. Step 4: Simplify right side
    17,536.50x = 1,471,508,780.06
  5. Step 5: Solve for x
    x = 1,471,508,780.06/17,536.50
  6. Step 6: Final answer
    x = 83,911.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.