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Finding the Third Proportional to 41,402 and 58,527

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Solution

The third proportional to 41,402 and 58,527 is: 82,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402 : 58,527 = 58,527 : x
  2. Step 2: Convert to fraction form
    41,402/58,527 = 58,527/x
  3. Step 3: Cross multiply
    41,402x = 58,527 × 58,527
  4. Step 4: Simplify right side
    41,402x = 3,425,409,729
  5. Step 5: Solve for x
    x = 3,425,409,729/41,402
  6. Step 6: Final answer
    x = 82,735.37

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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.