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Finding the Third Proportional to 10,077.56 and 20,972.63

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Solution

The third proportional to 10,077.56 and 20,972.63 is: 43,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.56 : 20,972.63 = 20,972.63 : x
  2. Step 2: Convert to fraction form
    10,077.56/20,972.63 = 20,972.63/x
  3. Step 3: Cross multiply
    10,077.56x = 20,972.63 × 20,972.63
  4. Step 4: Simplify right side
    10,077.56x = 439,850,999.39
  5. Step 5: Solve for x
    x = 439,850,999.39/10,077.56
  6. Step 6: Final answer
    x = 43,646.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.