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Finding the Third Proportional to 17,265.66 and 24,732.84

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Solution

The third proportional to 17,265.66 and 24,732.84 is: 35,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265.66 : 24,732.84 = 24,732.84 : x
  2. Step 2: Convert to fraction form
    17,265.66/24,732.84 = 24,732.84/x
  3. Step 3: Cross multiply
    17,265.66x = 24,732.84 × 24,732.84
  4. Step 4: Simplify right side
    17,265.66x = 611,713,559.96
  5. Step 5: Solve for x
    x = 611,713,559.96/17,265.66
  6. Step 6: Final answer
    x = 35,429.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.