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Finding the Third Proportional to 35,012.25 and 76,827.38

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Solution

The third proportional to 35,012.25 and 76,827.38 is: 168,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,012.25 : 76,827.38 = 76,827.38 : x
  2. Step 2: Convert to fraction form
    35,012.25/76,827.38 = 76,827.38/x
  3. Step 3: Cross multiply
    35,012.25x = 76,827.38 × 76,827.38
  4. Step 4: Simplify right side
    35,012.25x = 5,902,445,549.39
  5. Step 5: Solve for x
    x = 5,902,445,549.39/35,012.25
  6. Step 6: Final answer
    x = 168,582.30

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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.