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Finding the Third Proportional to 35,646.75 and 49,837.22

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Solution

The third proportional to 35,646.75 and 49,837.22 is: 69,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.75 : 49,837.22 = 49,837.22 : x
  2. Step 2: Convert to fraction form
    35,646.75/49,837.22 = 49,837.22/x
  3. Step 3: Cross multiply
    35,646.75x = 49,837.22 × 49,837.22
  4. Step 4: Simplify right side
    35,646.75x = 2,483,748,372.74
  5. Step 5: Solve for x
    x = 2,483,748,372.74/35,646.75
  6. Step 6: Final answer
    x = 69,676.71

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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.