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Finding the Third Proportional to 30,901.50 and 41,971.50

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Solution

The third proportional to 30,901.50 and 41,971.50 is: 57,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.50 : 41,971.50 = 41,971.50 : x
  2. Step 2: Convert to fraction form
    30,901.50/41,971.50 = 41,971.50/x
  3. Step 3: Cross multiply
    30,901.50x = 41,971.50 × 41,971.50
  4. Step 4: Simplify right side
    30,901.50x = 1,761,606,812.25
  5. Step 5: Solve for x
    x = 1,761,606,812.25/30,901.50
  6. Step 6: Final answer
    x = 57,007.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.