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Finding the Third Proportional to 13,416 and 21,275.25

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Solution

The third proportional to 13,416 and 21,275.25 is: 33,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416 : 21,275.25 = 21,275.25 : x
  2. Step 2: Convert to fraction form
    13,416/21,275.25 = 21,275.25/x
  3. Step 3: Cross multiply
    13,416x = 21,275.25 × 21,275.25
  4. Step 4: Simplify right side
    13,416x = 452,636,262.56
  5. Step 5: Solve for x
    x = 452,636,262.56/13,416
  6. Step 6: Final answer
    x = 33,738.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.