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Finding the Third Proportional to 36,310 and 56,075

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Solution

The third proportional to 36,310 and 56,075 is: 86,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,310 : 56,075 = 56,075 : x
  2. Step 2: Convert to fraction form
    36,310/56,075 = 56,075/x
  3. Step 3: Cross multiply
    36,310x = 56,075 × 56,075
  4. Step 4: Simplify right side
    36,310x = 3,144,405,625
  5. Step 5: Solve for x
    x = 3,144,405,625/36,310
  6. Step 6: Final answer
    x = 86,598.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.