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Finding the Third Proportional to 11,495.25 and 15,827.63

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Solution

The third proportional to 11,495.25 and 15,827.63 is: 21,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.25 : 15,827.63 = 15,827.63 : x
  2. Step 2: Convert to fraction form
    11,495.25/15,827.63 = 15,827.63/x
  3. Step 3: Cross multiply
    11,495.25x = 15,827.63 × 15,827.63
  4. Step 4: Simplify right side
    11,495.25x = 250,513,713.14
  5. Step 5: Solve for x
    x = 250,513,713.14/11,495.25
  6. Step 6: Final answer
    x = 21,792.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.