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Finding the Third Proportional to 35,860.50 and 75,271.50

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Solution

The third proportional to 35,860.50 and 75,271.50 is: 157,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,860.50 : 75,271.50 = 75,271.50 : x
  2. Step 2: Convert to fraction form
    35,860.50/75,271.50 = 75,271.50/x
  3. Step 3: Cross multiply
    35,860.50x = 75,271.50 × 75,271.50
  4. Step 4: Simplify right side
    35,860.50x = 5,665,798,712.25
  5. Step 5: Solve for x
    x = 5,665,798,712.25/35,860.50
  6. Step 6: Final answer
    x = 157,995.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.