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Finding the Third Proportional to 6,277.50 and 17,030.25

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Solution

The third proportional to 6,277.50 and 17,030.25 is: 46,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.50 : 17,030.25 = 17,030.25 : x
  2. Step 2: Convert to fraction form
    6,277.50/17,030.25 = 17,030.25/x
  3. Step 3: Cross multiply
    6,277.50x = 17,030.25 × 17,030.25
  4. Step 4: Simplify right side
    6,277.50x = 290,029,415.06
  5. Step 5: Solve for x
    x = 290,029,415.06/6,277.50
  6. Step 6: Final answer
    x = 46,201.42

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.