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Finding the Third Proportional to 33,681 and 46,830.75

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Solution

The third proportional to 33,681 and 46,830.75 is: 65,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681 : 46,830.75 = 46,830.75 : x
  2. Step 2: Convert to fraction form
    33,681/46,830.75 = 46,830.75/x
  3. Step 3: Cross multiply
    33,681x = 46,830.75 × 46,830.75
  4. Step 4: Simplify right side
    33,681x = 2,193,119,145.56
  5. Step 5: Solve for x
    x = 2,193,119,145.56/33,681
  6. Step 6: Final answer
    x = 65,114.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.