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Finding the Third Proportional to 53,495.63 and 82,788.38

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Solution

The third proportional to 53,495.63 and 82,788.38 is: 128,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,495.63 : 82,788.38 = 82,788.38 : x
  2. Step 2: Convert to fraction form
    53,495.63/82,788.38 = 82,788.38/x
  3. Step 3: Cross multiply
    53,495.63x = 82,788.38 × 82,788.38
  4. Step 4: Simplify right side
    53,495.63x = 6,853,915,035.14
  5. Step 5: Solve for x
    x = 6,853,915,035.14/53,495.63
  6. Step 6: Final answer
    x = 128,121.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.