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Finding the Third Proportional to 35,239.50 and 48,323.25

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Solution

The third proportional to 35,239.50 and 48,323.25 is: 66,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,239.50 : 48,323.25 = 48,323.25 : x
  2. Step 2: Convert to fraction form
    35,239.50/48,323.25 = 48,323.25/x
  3. Step 3: Cross multiply
    35,239.50x = 48,323.25 × 48,323.25
  4. Step 4: Simplify right side
    35,239.50x = 2,335,136,490.56
  5. Step 5: Solve for x
    x = 2,335,136,490.56/35,239.50
  6. Step 6: Final answer
    x = 66,264.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.