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Finding the Third Proportional to 8,926.50 and 17,043

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Solution

The third proportional to 8,926.50 and 17,043 is: 32,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.50 : 17,043 = 17,043 : x
  2. Step 2: Convert to fraction form
    8,926.50/17,043 = 17,043/x
  3. Step 3: Cross multiply
    8,926.50x = 17,043 × 17,043
  4. Step 4: Simplify right side
    8,926.50x = 290,463,849
  5. Step 5: Solve for x
    x = 290,463,849/8,926.50
  6. Step 6: Final answer
    x = 32,539.50

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.