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Finding the Third Proportional to 6,964 and 10,712

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Solution

The third proportional to 6,964 and 10,712 is: 16,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964 : 10,712 = 10,712 : x
  2. Step 2: Convert to fraction form
    6,964/10,712 = 10,712/x
  3. Step 3: Cross multiply
    6,964x = 10,712 × 10,712
  4. Step 4: Simplify right side
    6,964x = 114,746,944
  5. Step 5: Solve for x
    x = 114,746,944/6,964
  6. Step 6: Final answer
    x = 16,477.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.