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Finding the Third Proportional to 7,891.13 and 17,012.63

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Solution

The third proportional to 7,891.13 and 17,012.63 is: 36,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.13 : 17,012.63 = 17,012.63 : x
  2. Step 2: Convert to fraction form
    7,891.13/17,012.63 = 17,012.63/x
  3. Step 3: Cross multiply
    7,891.13x = 17,012.63 × 17,012.63
  4. Step 4: Simplify right side
    7,891.13x = 289,429,409.39
  5. Step 5: Solve for x
    x = 289,429,409.39/7,891.13
  6. Step 6: Final answer
    x = 36,677.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.