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Finding the Third Proportional to 46,033 and 61,860

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Solution

The third proportional to 46,033 and 61,860 is: 83,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,033 : 61,860 = 61,860 : x
  2. Step 2: Convert to fraction form
    46,033/61,860 = 61,860/x
  3. Step 3: Cross multiply
    46,033x = 61,860 × 61,860
  4. Step 4: Simplify right side
    46,033x = 3,826,659,600
  5. Step 5: Solve for x
    x = 3,826,659,600/46,033
  6. Step 6: Final answer
    x = 83,128.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.