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Finding the Third Proportional to 39,640 and 58,037

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Solution

The third proportional to 39,640 and 58,037 is: 84,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,640 : 58,037 = 58,037 : x
  2. Step 2: Convert to fraction form
    39,640/58,037 = 58,037/x
  3. Step 3: Cross multiply
    39,640x = 58,037 × 58,037
  4. Step 4: Simplify right side
    39,640x = 3,368,293,369
  5. Step 5: Solve for x
    x = 3,368,293,369/39,640
  6. Step 6: Final answer
    x = 84,972.08

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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.