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Finding the Third Proportional to 17,752 and 27,842

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Solution

The third proportional to 17,752 and 27,842 is: 43,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752 : 27,842 = 27,842 : x
  2. Step 2: Convert to fraction form
    17,752/27,842 = 27,842/x
  3. Step 3: Cross multiply
    17,752x = 27,842 × 27,842
  4. Step 4: Simplify right side
    17,752x = 775,176,964
  5. Step 5: Solve for x
    x = 775,176,964/17,752
  6. Step 6: Final answer
    x = 43,667.02

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