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Finding the Third Proportional to 30,817.50 and 63,091.50

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Solution

The third proportional to 30,817.50 and 63,091.50 is: 129,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.50 : 63,091.50 = 63,091.50 : x
  2. Step 2: Convert to fraction form
    30,817.50/63,091.50 = 63,091.50/x
  3. Step 3: Cross multiply
    30,817.50x = 63,091.50 × 63,091.50
  4. Step 4: Simplify right side
    30,817.50x = 3,980,537,372.25
  5. Step 5: Solve for x
    x = 3,980,537,372.25/30,817.50
  6. Step 6: Final answer
    x = 129,164.84

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.