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Finding the Third Proportional to 6,907.50 and 14,918.63

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Solution

The third proportional to 6,907.50 and 14,918.63 is: 32,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.50 : 14,918.63 = 14,918.63 : x
  2. Step 2: Convert to fraction form
    6,907.50/14,918.63 = 14,918.63/x
  3. Step 3: Cross multiply
    6,907.50x = 14,918.63 × 14,918.63
  4. Step 4: Simplify right side
    6,907.50x = 222,565,371.89
  5. Step 5: Solve for x
    x = 222,565,371.89/6,907.50
  6. Step 6: Final answer
    x = 32,220.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.