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Finding the Third Proportional to 17,803 and 27,926.50

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Solution

The third proportional to 17,803 and 27,926.50 is: 43,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,803 : 27,926.50 = 27,926.50 : x
  2. Step 2: Convert to fraction form
    17,803/27,926.50 = 27,926.50/x
  3. Step 3: Cross multiply
    17,803x = 27,926.50 × 27,926.50
  4. Step 4: Simplify right side
    17,803x = 779,889,402.25
  5. Step 5: Solve for x
    x = 779,889,402.25/17,803
  6. Step 6: Final answer
    x = 43,806.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.