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Finding the Third Proportional to 10,991.63 and 17,030.63

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Solution

The third proportional to 10,991.63 and 17,030.63 is: 26,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.63 : 17,030.63 = 17,030.63 : x
  2. Step 2: Convert to fraction form
    10,991.63/17,030.63 = 17,030.63/x
  3. Step 3: Cross multiply
    10,991.63x = 17,030.63 × 17,030.63
  4. Step 4: Simplify right side
    10,991.63x = 290,042,187.89
  5. Step 5: Solve for x
    x = 290,042,187.89/10,991.63
  6. Step 6: Final answer
    x = 26,387.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.