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Finding the Third Proportional to 7,164.39 and 16,857.50

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Solution

The third proportional to 7,164.39 and 16,857.50 is: 39,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.39 : 16,857.50 = 16,857.50 : x
  2. Step 2: Convert to fraction form
    7,164.39/16,857.50 = 16,857.50/x
  3. Step 3: Cross multiply
    7,164.39x = 16,857.50 × 16,857.50
  4. Step 4: Simplify right side
    7,164.39x = 284,175,339.17
  5. Step 5: Solve for x
    x = 284,175,339.17/7,164.39
  6. Step 6: Final answer
    x = 39,664.99

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.