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Finding the Third Proportional to 14,499 and 31,763.25

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Solution

The third proportional to 14,499 and 31,763.25 is: 69,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499 : 31,763.25 = 31,763.25 : x
  2. Step 2: Convert to fraction form
    14,499/31,763.25 = 31,763.25/x
  3. Step 3: Cross multiply
    14,499x = 31,763.25 × 31,763.25
  4. Step 4: Simplify right side
    14,499x = 1,008,904,050.56
  5. Step 5: Solve for x
    x = 1,008,904,050.56/14,499
  6. Step 6: Final answer
    x = 69,584.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.