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Finding the Third Proportional to 30,331.78 and 65,903.06

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Solution

The third proportional to 30,331.78 and 65,903.06 is: 143,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.78 : 65,903.06 = 65,903.06 : x
  2. Step 2: Convert to fraction form
    30,331.78/65,903.06 = 65,903.06/x
  3. Step 3: Cross multiply
    30,331.78x = 65,903.06 × 65,903.06
  4. Step 4: Simplify right side
    30,331.78x = 4,343,213,646.88
  5. Step 5: Solve for x
    x = 4,343,213,646.88/30,331.78
  6. Step 6: Final answer
    x = 143,190.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.