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Finding the Third Proportional to 36,586.69 and 40,915.13

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Solution

The third proportional to 36,586.69 and 40,915.13 is: 45,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586.69 : 40,915.13 = 40,915.13 : x
  2. Step 2: Convert to fraction form
    36,586.69/40,915.13 = 40,915.13/x
  3. Step 3: Cross multiply
    36,586.69x = 40,915.13 × 40,915.13
  4. Step 4: Simplify right side
    36,586.69x = 1,674,047,453.77
  5. Step 5: Solve for x
    x = 1,674,047,453.77/36,586.69
  6. Step 6: Final answer
    x = 45,755.64

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.