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Finding the Third Proportional to 17,830.13 and 38,130.75

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Solution

The third proportional to 17,830.13 and 38,130.75 is: 81,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.13 : 38,130.75 = 38,130.75 : x
  2. Step 2: Convert to fraction form
    17,830.13/38,130.75 = 38,130.75/x
  3. Step 3: Cross multiply
    17,830.13x = 38,130.75 × 38,130.75
  4. Step 4: Simplify right side
    17,830.13x = 1,453,954,095.56
  5. Step 5: Solve for x
    x = 1,453,954,095.56/17,830.13
  6. Step 6: Final answer
    x = 81,544.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.