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Finding the Third Proportional to 31,514.06 and 46,648.41

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Solution

The third proportional to 31,514.06 and 46,648.41 is: 69,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.06 : 46,648.41 = 46,648.41 : x
  2. Step 2: Convert to fraction form
    31,514.06/46,648.41 = 46,648.41/x
  3. Step 3: Cross multiply
    31,514.06x = 46,648.41 × 46,648.41
  4. Step 4: Simplify right side
    31,514.06x = 2,176,073,805.67
  5. Step 5: Solve for x
    x = 2,176,073,805.67/31,514.06
  6. Step 6: Final answer
    x = 69,050.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.