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Finding the Third Proportional to 17,262.49 and 25,327.05

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Solution

The third proportional to 17,262.49 and 25,327.05 is: 37,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,262.49 : 25,327.05 = 25,327.05 : x
  2. Step 2: Convert to fraction form
    17,262.49/25,327.05 = 25,327.05/x
  3. Step 3: Cross multiply
    17,262.49x = 25,327.05 × 25,327.05
  4. Step 4: Simplify right side
    17,262.49x = 641,459,699.14
  5. Step 5: Solve for x
    x = 641,459,699.14/17,262.49
  6. Step 6: Final answer
    x = 37,159.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.