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Finding the Third Proportional to 23,710 and 39,511

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Solution

The third proportional to 23,710 and 39,511 is: 65,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710 : 39,511 = 39,511 : x
  2. Step 2: Convert to fraction form
    23,710/39,511 = 39,511/x
  3. Step 3: Cross multiply
    23,710x = 39,511 × 39,511
  4. Step 4: Simplify right side
    23,710x = 1,561,119,121
  5. Step 5: Solve for x
    x = 1,561,119,121/23,710
  6. Step 6: Final answer
    x = 65,842.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.