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Finding the Third Proportional to 17,790 and 25,030.50

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Solution

The third proportional to 17,790 and 25,030.50 is: 35,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790 : 25,030.50 = 25,030.50 : x
  2. Step 2: Convert to fraction form
    17,790/25,030.50 = 25,030.50/x
  3. Step 3: Cross multiply
    17,790x = 25,030.50 × 25,030.50
  4. Step 4: Simplify right side
    17,790x = 626,525,930.25
  5. Step 5: Solve for x
    x = 626,525,930.25/17,790
  6. Step 6: Final answer
    x = 35,217.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.