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Finding the Third Proportional to 30,720.38 and 65,158.88

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Solution

The third proportional to 30,720.38 and 65,158.88 is: 138,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.38 : 65,158.88 = 65,158.88 : x
  2. Step 2: Convert to fraction form
    30,720.38/65,158.88 = 65,158.88/x
  3. Step 3: Cross multiply
    30,720.38x = 65,158.88 × 65,158.88
  4. Step 4: Simplify right side
    30,720.38x = 4,245,678,991.27
  5. Step 5: Solve for x
    x = 4,245,678,991.27/30,720.38
  6. Step 6: Final answer
    x = 138,204.01

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.