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Finding the Third Proportional to 35,322 and 49,503.75

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Solution

The third proportional to 35,322 and 49,503.75 is: 69,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322 : 49,503.75 = 49,503.75 : x
  2. Step 2: Convert to fraction form
    35,322/49,503.75 = 49,503.75/x
  3. Step 3: Cross multiply
    35,322x = 49,503.75 × 49,503.75
  4. Step 4: Simplify right side
    35,322x = 2,450,621,264.06
  5. Step 5: Solve for x
    x = 2,450,621,264.06/35,322
  6. Step 6: Final answer
    x = 69,379.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.