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Finding the Third Proportional to 14,646.75 and 34,561.13

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Solution

The third proportional to 14,646.75 and 34,561.13 is: 81,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.75 : 34,561.13 = 34,561.13 : x
  2. Step 2: Convert to fraction form
    14,646.75/34,561.13 = 34,561.13/x
  3. Step 3: Cross multiply
    14,646.75x = 34,561.13 × 34,561.13
  4. Step 4: Simplify right side
    14,646.75x = 1,194,471,361.27
  5. Step 5: Solve for x
    x = 1,194,471,361.27/14,646.75
  6. Step 6: Final answer
    x = 81,551.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.