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Finding the Third Proportional to 11,946.80 and 25,970.34

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Solution

The third proportional to 11,946.80 and 25,970.34 is: 56,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.80 : 25,970.34 = 25,970.34 : x
  2. Step 2: Convert to fraction form
    11,946.80/25,970.34 = 25,970.34/x
  3. Step 3: Cross multiply
    11,946.80x = 25,970.34 × 25,970.34
  4. Step 4: Simplify right side
    11,946.80x = 674,458,754.49
  5. Step 5: Solve for x
    x = 674,458,754.49/11,946.80
  6. Step 6: Final answer
    x = 56,455.20

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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.