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Finding the Third Proportional to 20,835 and 31,254.75

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Solution

The third proportional to 20,835 and 31,254.75 is: 46,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835 : 31,254.75 = 31,254.75 : x
  2. Step 2: Convert to fraction form
    20,835/31,254.75 = 31,254.75/x
  3. Step 3: Cross multiply
    20,835x = 31,254.75 × 31,254.75
  4. Step 4: Simplify right side
    20,835x = 976,859,397.56
  5. Step 5: Solve for x
    x = 976,859,397.56/20,835
  6. Step 6: Final answer
    x = 46,885.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.