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Finding the Third Proportional to 35,689 and 46,941.75

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Solution

The third proportional to 35,689 and 46,941.75 is: 61,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689 : 46,941.75 = 46,941.75 : x
  2. Step 2: Convert to fraction form
    35,689/46,941.75 = 46,941.75/x
  3. Step 3: Cross multiply
    35,689x = 46,941.75 × 46,941.75
  4. Step 4: Simplify right side
    35,689x = 2,203,527,893.06
  5. Step 5: Solve for x
    x = 2,203,527,893.06/35,689
  6. Step 6: Final answer
    x = 61,742.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.