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Finding the Third Proportional to 10,075.88 and 17,712.75

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Solution

The third proportional to 10,075.88 and 17,712.75 is: 31,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.88 : 17,712.75 = 17,712.75 : x
  2. Step 2: Convert to fraction form
    10,075.88/17,712.75 = 17,712.75/x
  3. Step 3: Cross multiply
    10,075.88x = 17,712.75 × 17,712.75
  4. Step 4: Simplify right side
    10,075.88x = 313,741,512.56
  5. Step 5: Solve for x
    x = 313,741,512.56/10,075.88
  6. Step 6: Final answer
    x = 31,137.89

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.