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Finding the Third Proportional to 17,806 and 27,680.50

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Solution

The third proportional to 17,806 and 27,680.50 is: 43,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806 : 27,680.50 = 27,680.50 : x
  2. Step 2: Convert to fraction form
    17,806/27,680.50 = 27,680.50/x
  3. Step 3: Cross multiply
    17,806x = 27,680.50 × 27,680.50
  4. Step 4: Simplify right side
    17,806x = 766,210,080.25
  5. Step 5: Solve for x
    x = 766,210,080.25/17,806
  6. Step 6: Final answer
    x = 43,031.01

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