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Finding the Third Proportional to 39,884 and 58,095

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Solution

The third proportional to 39,884 and 58,095 is: 84,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884 : 58,095 = 58,095 : x
  2. Step 2: Convert to fraction form
    39,884/58,095 = 58,095/x
  3. Step 3: Cross multiply
    39,884x = 58,095 × 58,095
  4. Step 4: Simplify right side
    39,884x = 3,375,029,025
  5. Step 5: Solve for x
    x = 3,375,029,025/39,884
  6. Step 6: Final answer
    x = 84,621.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.