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Finding the Third Proportional to 36,586.69 and 55,176.19

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Solution

The third proportional to 36,586.69 and 55,176.19 is: 83,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586.69 : 55,176.19 = 55,176.19 : x
  2. Step 2: Convert to fraction form
    36,586.69/55,176.19 = 55,176.19/x
  3. Step 3: Cross multiply
    36,586.69x = 55,176.19 × 55,176.19
  4. Step 4: Simplify right side
    36,586.69x = 3,044,411,667.04
  5. Step 5: Solve for x
    x = 3,044,411,667.04/36,586.69
  6. Step 6: Final answer
    x = 83,210.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.