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Finding the Third Proportional to 30,226.50 and 61,981.50

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Solution

The third proportional to 30,226.50 and 61,981.50 is: 127,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226.50 : 61,981.50 = 61,981.50 : x
  2. Step 2: Convert to fraction form
    30,226.50/61,981.50 = 61,981.50/x
  3. Step 3: Cross multiply
    30,226.50x = 61,981.50 × 61,981.50
  4. Step 4: Simplify right side
    30,226.50x = 3,841,706,342.25
  5. Step 5: Solve for x
    x = 3,841,706,342.25/30,226.50
  6. Step 6: Final answer
    x = 127,097.29

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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.