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Finding the Third Proportional to 14,721.75 and 32,010.19

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Solution

The third proportional to 14,721.75 and 32,010.19 is: 69,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721.75 : 32,010.19 = 32,010.19 : x
  2. Step 2: Convert to fraction form
    14,721.75/32,010.19 = 32,010.19/x
  3. Step 3: Cross multiply
    14,721.75x = 32,010.19 × 32,010.19
  4. Step 4: Simplify right side
    14,721.75x = 1,024,652,103.79
  5. Step 5: Solve for x
    x = 1,024,652,103.79/14,721.75
  6. Step 6: Final answer
    x = 69,601.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.