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Finding the Third Proportional to 15,675 and 30,564.75

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Solution

The third proportional to 15,675 and 30,564.75 is: 59,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675 : 30,564.75 = 30,564.75 : x
  2. Step 2: Convert to fraction form
    15,675/30,564.75 = 30,564.75/x
  3. Step 3: Cross multiply
    15,675x = 30,564.75 × 30,564.75
  4. Step 4: Simplify right side
    15,675x = 934,203,942.56
  5. Step 5: Solve for x
    x = 934,203,942.56/15,675
  6. Step 6: Final answer
    x = 59,598.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.