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Finding the Third Proportional to 40,726 and 58,130

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Solution

The third proportional to 40,726 and 58,130 is: 82,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,726 : 58,130 = 58,130 : x
  2. Step 2: Convert to fraction form
    40,726/58,130 = 58,130/x
  3. Step 3: Cross multiply
    40,726x = 58,130 × 58,130
  4. Step 4: Simplify right side
    40,726x = 3,379,096,900
  5. Step 5: Solve for x
    x = 3,379,096,900/40,726
  6. Step 6: Final answer
    x = 82,971.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.