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Finding the Third Proportional to 35,047.69 and 75,638.81

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Solution

The third proportional to 35,047.69 and 75,638.81 is: 163,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,047.69 : 75,638.81 = 75,638.81 : x
  2. Step 2: Convert to fraction form
    35,047.69/75,638.81 = 75,638.81/x
  3. Step 3: Cross multiply
    35,047.69x = 75,638.81 × 75,638.81
  4. Step 4: Simplify right side
    35,047.69x = 5,721,229,956.41
  5. Step 5: Solve for x
    x = 5,721,229,956.41/35,047.69
  6. Step 6: Final answer
    x = 163,241.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.