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Finding the Third Proportional to 32,996.25 and 53,126.25

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Solution

The third proportional to 32,996.25 and 53,126.25 is: 85,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996.25 : 53,126.25 = 53,126.25 : x
  2. Step 2: Convert to fraction form
    32,996.25/53,126.25 = 53,126.25/x
  3. Step 3: Cross multiply
    32,996.25x = 53,126.25 × 53,126.25
  4. Step 4: Simplify right side
    32,996.25x = 2,822,398,439.06
  5. Step 5: Solve for x
    x = 2,822,398,439.06/32,996.25
  6. Step 6: Final answer
    x = 85,536.95

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.