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Finding the Third Proportional to 36,581.63 and 53,475.19

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Solution

The third proportional to 36,581.63 and 53,475.19 is: 78,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,581.63 : 53,475.19 = 53,475.19 : x
  2. Step 2: Convert to fraction form
    36,581.63/53,475.19 = 53,475.19/x
  3. Step 3: Cross multiply
    36,581.63x = 53,475.19 × 53,475.19
  4. Step 4: Simplify right side
    36,581.63x = 2,859,595,678.16
  5. Step 5: Solve for x
    x = 2,859,595,678.16/36,581.63
  6. Step 6: Final answer
    x = 78,170.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.