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Finding the Third Proportional to 38,855 and 58,043

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Solution

The third proportional to 38,855 and 58,043 is: 86,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,855 : 58,043 = 58,043 : x
  2. Step 2: Convert to fraction form
    38,855/58,043 = 58,043/x
  3. Step 3: Cross multiply
    38,855x = 58,043 × 58,043
  4. Step 4: Simplify right side
    38,855x = 3,368,989,849
  5. Step 5: Solve for x
    x = 3,368,989,849/38,855
  6. Step 6: Final answer
    x = 86,706.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.