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Finding the Third Proportional to 16,262.25 and 35,497.50

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Solution

The third proportional to 16,262.25 and 35,497.50 is: 77,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.25 : 35,497.50 = 35,497.50 : x
  2. Step 2: Convert to fraction form
    16,262.25/35,497.50 = 35,497.50/x
  3. Step 3: Cross multiply
    16,262.25x = 35,497.50 × 35,497.50
  4. Step 4: Simplify right side
    16,262.25x = 1,260,072,506.25
  5. Step 5: Solve for x
    x = 1,260,072,506.25/16,262.25
  6. Step 6: Final answer
    x = 77,484.51

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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.