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Finding the Third Proportional to 53,487.75 and 82,823.63

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Solution

The third proportional to 53,487.75 and 82,823.63 is: 128,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,487.75 : 82,823.63 = 82,823.63 : x
  2. Step 2: Convert to fraction form
    53,487.75/82,823.63 = 82,823.63/x
  3. Step 3: Cross multiply
    53,487.75x = 82,823.63 × 82,823.63
  4. Step 4: Simplify right side
    53,487.75x = 6,859,752,858.14
  5. Step 5: Solve for x
    x = 6,859,752,858.14/53,487.75
  6. Step 6: Final answer
    x = 128,249.05

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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.