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Finding the Third Proportional to 35,647.13 and 49,837.69

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Solution

The third proportional to 35,647.13 and 49,837.69 is: 69,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.13 : 49,837.69 = 49,837.69 : x
  2. Step 2: Convert to fraction form
    35,647.13/49,837.69 = 49,837.69/x
  3. Step 3: Cross multiply
    35,647.13x = 49,837.69 × 49,837.69
  4. Step 4: Simplify right side
    35,647.13x = 2,483,795,095.35
  5. Step 5: Solve for x
    x = 2,483,795,095.35/35,647.13
  6. Step 6: Final answer
    x = 69,677.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.