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Finding the Third Proportional to 16,411.50 and 35,968.50

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Solution

The third proportional to 16,411.50 and 35,968.50 is: 78,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.50 : 35,968.50 = 35,968.50 : x
  2. Step 2: Convert to fraction form
    16,411.50/35,968.50 = 35,968.50/x
  3. Step 3: Cross multiply
    16,411.50x = 35,968.50 × 35,968.50
  4. Step 4: Simplify right side
    16,411.50x = 1,293,732,992.25
  5. Step 5: Solve for x
    x = 1,293,732,992.25/16,411.50
  6. Step 6: Final answer
    x = 78,830.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.