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Finding the Third Proportional to 35,352.25 and 76,239.50

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Solution

The third proportional to 35,352.25 and 76,239.50 is: 164,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,352.25 : 76,239.50 = 76,239.50 : x
  2. Step 2: Convert to fraction form
    35,352.25/76,239.50 = 76,239.50/x
  3. Step 3: Cross multiply
    35,352.25x = 76,239.50 × 76,239.50
  4. Step 4: Simplify right side
    35,352.25x = 5,812,461,360.25
  5. Step 5: Solve for x
    x = 5,812,461,360.25/35,352.25
  6. Step 6: Final answer
    x = 164,415.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.