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Finding the Third Proportional to 35,669.25 and 75,692.25

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Solution

The third proportional to 35,669.25 and 75,692.25 is: 160,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,669.25 : 75,692.25 = 75,692.25 : x
  2. Step 2: Convert to fraction form
    35,669.25/75,692.25 = 75,692.25/x
  3. Step 3: Cross multiply
    35,669.25x = 75,692.25 × 75,692.25
  4. Step 4: Simplify right side
    35,669.25x = 5,729,316,710.06
  5. Step 5: Solve for x
    x = 5,729,316,710.06/35,669.25
  6. Step 6: Final answer
    x = 160,623.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.