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Finding the Third Proportional to 39,510 and 95,215.50

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Solution

The third proportional to 39,510 and 95,215.50 is: 229,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,510 : 95,215.50 = 95,215.50 : x
  2. Step 2: Convert to fraction form
    39,510/95,215.50 = 95,215.50/x
  3. Step 3: Cross multiply
    39,510x = 95,215.50 × 95,215.50
  4. Step 4: Simplify right side
    39,510x = 9,065,991,440.25
  5. Step 5: Solve for x
    x = 9,065,991,440.25/39,510
  6. Step 6: Final answer
    x = 229,460.68

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.