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Finding the Third Proportional to 20,749.50 and 42,471

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Solution

The third proportional to 20,749.50 and 42,471 is: 86,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,749.50 : 42,471 = 42,471 : x
  2. Step 2: Convert to fraction form
    20,749.50/42,471 = 42,471/x
  3. Step 3: Cross multiply
    20,749.50x = 42,471 × 42,471
  4. Step 4: Simplify right side
    20,749.50x = 1,803,785,841
  5. Step 5: Solve for x
    x = 1,803,785,841/20,749.50
  6. Step 6: Final answer
    x = 86,931.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.