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Finding the Third Proportional to 17,712 and 37,260

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Solution

The third proportional to 17,712 and 37,260 is: 78,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 37,260 = 37,260 : x
  2. Step 2: Convert to fraction form
    17,712/37,260 = 37,260/x
  3. Step 3: Cross multiply
    17,712x = 37,260 × 37,260
  4. Step 4: Simplify right side
    17,712x = 1,388,307,600
  5. Step 5: Solve for x
    x = 1,388,307,600/17,712
  6. Step 6: Final answer
    x = 78,382.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.