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Finding the Third Proportional to 35,408.25 and 53,386.38

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Solution

The third proportional to 35,408.25 and 53,386.38 is: 80,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408.25 : 53,386.38 = 53,386.38 : x
  2. Step 2: Convert to fraction form
    35,408.25/53,386.38 = 53,386.38/x
  3. Step 3: Cross multiply
    35,408.25x = 53,386.38 × 53,386.38
  4. Step 4: Simplify right side
    35,408.25x = 2,850,105,035.64
  5. Step 5: Solve for x
    x = 2,850,105,035.64/35,408.25
  6. Step 6: Final answer
    x = 80,492.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.