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Finding the Third Proportional to 46,514.25 and 69,649.88

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Solution

The third proportional to 46,514.25 and 69,649.88 is: 104,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,514.25 : 69,649.88 = 69,649.88 : x
  2. Step 2: Convert to fraction form
    46,514.25/69,649.88 = 69,649.88/x
  3. Step 3: Cross multiply
    46,514.25x = 69,649.88 × 69,649.88
  4. Step 4: Simplify right side
    46,514.25x = 4,851,105,087.52
  5. Step 5: Solve for x
    x = 4,851,105,087.52/46,514.25
  6. Step 6: Final answer
    x = 104,292.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.