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Finding the Third Proportional to 16,212 and 35,264.50

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Solution

The third proportional to 16,212 and 35,264.50 is: 76,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212 : 35,264.50 = 35,264.50 : x
  2. Step 2: Convert to fraction form
    16,212/35,264.50 = 35,264.50/x
  3. Step 3: Cross multiply
    16,212x = 35,264.50 × 35,264.50
  4. Step 4: Simplify right side
    16,212x = 1,243,584,960.25
  5. Step 5: Solve for x
    x = 1,243,584,960.25/16,212
  6. Step 6: Final answer
    x = 76,707.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.