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Finding the Third Proportional to 46,419.75 and 67,645.13

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Solution

The third proportional to 46,419.75 and 67,645.13 is: 98,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419.75 : 67,645.13 = 67,645.13 : x
  2. Step 2: Convert to fraction form
    46,419.75/67,645.13 = 67,645.13/x
  3. Step 3: Cross multiply
    46,419.75x = 67,645.13 × 67,645.13
  4. Step 4: Simplify right side
    46,419.75x = 4,575,862,936.27
  5. Step 5: Solve for x
    x = 4,575,862,936.27/46,419.75
  6. Step 6: Final answer
    x = 98,575.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.