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Finding the Third Proportional to 39,730 and 58,907

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Solution

The third proportional to 39,730 and 58,907 is: 87,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,730 : 58,907 = 58,907 : x
  2. Step 2: Convert to fraction form
    39,730/58,907 = 58,907/x
  3. Step 3: Cross multiply
    39,730x = 58,907 × 58,907
  4. Step 4: Simplify right side
    39,730x = 3,470,034,649
  5. Step 5: Solve for x
    x = 3,470,034,649/39,730
  6. Step 6: Final answer
    x = 87,340.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.