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Finding the Third Proportional to 39,880 and 61,712

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Solution

The third proportional to 39,880 and 61,712 is: 95,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,880 : 61,712 = 61,712 : x
  2. Step 2: Convert to fraction form
    39,880/61,712 = 61,712/x
  3. Step 3: Cross multiply
    39,880x = 61,712 × 61,712
  4. Step 4: Simplify right side
    39,880x = 3,808,370,944
  5. Step 5: Solve for x
    x = 3,808,370,944/39,880
  6. Step 6: Final answer
    x = 95,495.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.