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Finding the Third Proportional to 35,346.38 and 76,916.25

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Solution

The third proportional to 35,346.38 and 76,916.25 is: 167,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,346.38 : 76,916.25 = 76,916.25 : x
  2. Step 2: Convert to fraction form
    35,346.38/76,916.25 = 76,916.25/x
  3. Step 3: Cross multiply
    35,346.38x = 76,916.25 × 76,916.25
  4. Step 4: Simplify right side
    35,346.38x = 5,916,109,514.06
  5. Step 5: Solve for x
    x = 5,916,109,514.06/35,346.38
  6. Step 6: Final answer
    x = 167,375.28

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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.