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Finding the Third Proportional to 7,075 and 14,925

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Solution

The third proportional to 7,075 and 14,925 is: 31,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075 : 14,925 = 14,925 : x
  2. Step 2: Convert to fraction form
    7,075/14,925 = 14,925/x
  3. Step 3: Cross multiply
    7,075x = 14,925 × 14,925
  4. Step 4: Simplify right side
    7,075x = 222,755,625
  5. Step 5: Solve for x
    x = 222,755,625/7,075
  6. Step 6: Final answer
    x = 31,484.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.