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Finding the Third Proportional to 36,798.75 and 58,364.81

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Solution

The third proportional to 36,798.75 and 58,364.81 is: 92,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798.75 : 58,364.81 = 58,364.81 : x
  2. Step 2: Convert to fraction form
    36,798.75/58,364.81 = 58,364.81/x
  3. Step 3: Cross multiply
    36,798.75x = 58,364.81 × 58,364.81
  4. Step 4: Simplify right side
    36,798.75x = 3,406,451,338.16
  5. Step 5: Solve for x
    x = 3,406,451,338.16/36,798.75
  6. Step 6: Final answer
    x = 92,569.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.