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Finding the Third Proportional to 10,075.88 and 14,429.25

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Solution

The third proportional to 10,075.88 and 14,429.25 is: 20,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.88 : 14,429.25 = 14,429.25 : x
  2. Step 2: Convert to fraction form
    10,075.88/14,429.25 = 14,429.25/x
  3. Step 3: Cross multiply
    10,075.88x = 14,429.25 × 14,429.25
  4. Step 4: Simplify right side
    10,075.88x = 208,203,255.56
  5. Step 5: Solve for x
    x = 208,203,255.56/10,075.88
  6. Step 6: Final answer
    x = 20,663.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.