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Finding the Third Proportional to 12,656 and 25,712

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Solution

The third proportional to 12,656 and 25,712 is: 52,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656 : 25,712 = 25,712 : x
  2. Step 2: Convert to fraction form
    12,656/25,712 = 25,712/x
  3. Step 3: Cross multiply
    12,656x = 25,712 × 25,712
  4. Step 4: Simplify right side
    12,656x = 661,106,944
  5. Step 5: Solve for x
    x = 661,106,944/12,656
  6. Step 6: Final answer
    x = 52,236.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.