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Finding the Third Proportional to 46,000.13 and 61,819.31

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Solution

The third proportional to 46,000.13 and 61,819.31 is: 83,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,000.13 : 61,819.31 = 61,819.31 : x
  2. Step 2: Convert to fraction form
    46,000.13/61,819.31 = 61,819.31/x
  3. Step 3: Cross multiply
    46,000.13x = 61,819.31 × 61,819.31
  4. Step 4: Simplify right side
    46,000.13x = 3,821,627,397.97
  5. Step 5: Solve for x
    x = 3,821,627,397.97/46,000.13
  6. Step 6: Final answer
    x = 83,078.63

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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.