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Finding the Third Proportional to 10,891.13 and 16,763.63

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Solution

The third proportional to 10,891.13 and 16,763.63 is: 25,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.13 : 16,763.63 = 16,763.63 : x
  2. Step 2: Convert to fraction form
    10,891.13/16,763.63 = 16,763.63/x
  3. Step 3: Cross multiply
    10,891.13x = 16,763.63 × 16,763.63
  4. Step 4: Simplify right side
    10,891.13x = 281,019,123.14
  5. Step 5: Solve for x
    x = 281,019,123.14/10,891.13
  6. Step 6: Final answer
    x = 25,802.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.