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Finding the Third Proportional to 34,765.13 and 46,611.38

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Solution

The third proportional to 34,765.13 and 46,611.38 is: 62,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765.13 : 46,611.38 = 46,611.38 : x
  2. Step 2: Convert to fraction form
    34,765.13/46,611.38 = 46,611.38/x
  3. Step 3: Cross multiply
    34,765.13x = 46,611.38 × 46,611.38
  4. Step 4: Simplify right side
    34,765.13x = 2,172,620,279.39
  5. Step 5: Solve for x
    x = 2,172,620,279.39/34,765.13
  6. Step 6: Final answer
    x = 62,494.25

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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.