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Finding the Third Proportional to 9,712 and 20,840

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Solution

The third proportional to 9,712 and 20,840 is: 44,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 20,840 = 20,840 : x
  2. Step 2: Convert to fraction form
    9,712/20,840 = 20,840/x
  3. Step 3: Cross multiply
    9,712x = 20,840 × 20,840
  4. Step 4: Simplify right side
    9,712x = 434,305,600
  5. Step 5: Solve for x
    x = 434,305,600/9,712
  6. Step 6: Final answer
    x = 44,718.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.