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Finding the Third Proportional to 35,284.88 and 75,686.25

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Solution

The third proportional to 35,284.88 and 75,686.25 is: 162,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,284.88 : 75,686.25 = 75,686.25 : x
  2. Step 2: Convert to fraction form
    35,284.88/75,686.25 = 75,686.25/x
  3. Step 3: Cross multiply
    35,284.88x = 75,686.25 × 75,686.25
  4. Step 4: Simplify right side
    35,284.88x = 5,728,408,439.06
  5. Step 5: Solve for x
    x = 5,728,408,439.06/35,284.88
  6. Step 6: Final answer
    x = 162,347.42

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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.