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Finding the Third Proportional to 33,935.63 and 53,191.69

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Solution

The third proportional to 33,935.63 and 53,191.69 is: 83,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,935.63 : 53,191.69 = 53,191.69 : x
  2. Step 2: Convert to fraction form
    33,935.63/53,191.69 = 53,191.69/x
  3. Step 3: Cross multiply
    33,935.63x = 53,191.69 × 53,191.69
  4. Step 4: Simplify right side
    33,935.63x = 2,829,355,619.10
  5. Step 5: Solve for x
    x = 2,829,355,619.10/33,935.63
  6. Step 6: Final answer
    x = 83,374.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.