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Finding the Third Proportional to 41,370.75 and 58,492.13

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Solution

The third proportional to 41,370.75 and 58,492.13 is: 82,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,370.75 : 58,492.13 = 58,492.13 : x
  2. Step 2: Convert to fraction form
    41,370.75/58,492.13 = 58,492.13/x
  3. Step 3: Cross multiply
    41,370.75x = 58,492.13 × 58,492.13
  4. Step 4: Simplify right side
    41,370.75x = 3,421,328,687.02
  5. Step 5: Solve for x
    x = 3,421,328,687.02/41,370.75
  6. Step 6: Final answer
    x = 82,699.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.