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Finding the Third Proportional to 15,270 and 32,799

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Solution

The third proportional to 15,270 and 32,799 is: 70,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270 : 32,799 = 32,799 : x
  2. Step 2: Convert to fraction form
    15,270/32,799 = 32,799/x
  3. Step 3: Cross multiply
    15,270x = 32,799 × 32,799
  4. Step 4: Simplify right side
    15,270x = 1,075,774,401
  5. Step 5: Solve for x
    x = 1,075,774,401/15,270
  6. Step 6: Final answer
    x = 70,450.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.