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Finding the Third Proportional to 26,969.06 and 57,397.50

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Solution

The third proportional to 26,969.06 and 57,397.50 is: 122,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,969.06 : 57,397.50 = 57,397.50 : x
  2. Step 2: Convert to fraction form
    26,969.06/57,397.50 = 57,397.50/x
  3. Step 3: Cross multiply
    26,969.06x = 57,397.50 × 57,397.50
  4. Step 4: Simplify right side
    26,969.06x = 3,294,473,006.25
  5. Step 5: Solve for x
    x = 3,294,473,006.25/26,969.06
  6. Step 6: Final answer
    x = 122,157.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.