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Finding the Third Proportional to 41,462.51 and 62,128.58

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Solution

The third proportional to 41,462.51 and 62,128.58 is: 93,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,462.51 : 62,128.58 = 62,128.58 : x
  2. Step 2: Convert to fraction form
    41,462.51/62,128.58 = 62,128.58/x
  3. Step 3: Cross multiply
    41,462.51x = 62,128.58 × 62,128.58
  4. Step 4: Simplify right side
    41,462.51x = 3,859,960,705.21
  5. Step 5: Solve for x
    x = 3,859,960,705.21/41,462.51
  6. Step 6: Final answer
    x = 93,095.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.