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Finding the Third Proportional to 13,282.73 and 18,569.88

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Solution

The third proportional to 13,282.73 and 18,569.88 is: 25,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.73 : 18,569.88 = 18,569.88 : x
  2. Step 2: Convert to fraction form
    13,282.73/18,569.88 = 18,569.88/x
  3. Step 3: Cross multiply
    13,282.73x = 18,569.88 × 18,569.88
  4. Step 4: Simplify right side
    13,282.73x = 344,840,547.67
  5. Step 5: Solve for x
    x = 344,840,547.67/13,282.73
  6. Step 6: Final answer
    x = 25,961.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.