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Finding the Third Proportional to 20,535 and 47,989.50

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Solution

The third proportional to 20,535 and 47,989.50 is: 112,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535 : 47,989.50 = 47,989.50 : x
  2. Step 2: Convert to fraction form
    20,535/47,989.50 = 47,989.50/x
  3. Step 3: Cross multiply
    20,535x = 47,989.50 × 47,989.50
  4. Step 4: Simplify right side
    20,535x = 2,302,992,110.25
  5. Step 5: Solve for x
    x = 2,302,992,110.25/20,535
  6. Step 6: Final answer
    x = 112,149.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.