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Finding the Third Proportional to 11,656 and 17,480

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Solution

The third proportional to 11,656 and 17,480 is: 26,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 17,480 = 17,480 : x
  2. Step 2: Convert to fraction form
    11,656/17,480 = 17,480/x
  3. Step 3: Cross multiply
    11,656x = 17,480 × 17,480
  4. Step 4: Simplify right side
    11,656x = 305,550,400
  5. Step 5: Solve for x
    x = 305,550,400/11,656
  6. Step 6: Final answer
    x = 26,214.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.