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Finding the Third Proportional to 6,784 and 14,712

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Solution

The third proportional to 6,784 and 14,712 is: 31,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784 : 14,712 = 14,712 : x
  2. Step 2: Convert to fraction form
    6,784/14,712 = 14,712/x
  3. Step 3: Cross multiply
    6,784x = 14,712 × 14,712
  4. Step 4: Simplify right side
    6,784x = 216,442,944
  5. Step 5: Solve for x
    x = 216,442,944/6,784
  6. Step 6: Final answer
    x = 31,904.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.