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Finding the Third Proportional to 39,726 and 58,491

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Solution

The third proportional to 39,726 and 58,491 is: 86,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,726 : 58,491 = 58,491 : x
  2. Step 2: Convert to fraction form
    39,726/58,491 = 58,491/x
  3. Step 3: Cross multiply
    39,726x = 58,491 × 58,491
  4. Step 4: Simplify right side
    39,726x = 3,421,197,081
  5. Step 5: Solve for x
    x = 3,421,197,081/39,726
  6. Step 6: Final answer
    x = 86,119.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.