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Finding the Third Proportional to 12,964 and 27,774

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Solution

The third proportional to 12,964 and 27,774 is: 59,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964 : 27,774 = 27,774 : x
  2. Step 2: Convert to fraction form
    12,964/27,774 = 27,774/x
  3. Step 3: Cross multiply
    12,964x = 27,774 × 27,774
  4. Step 4: Simplify right side
    12,964x = 771,395,076
  5. Step 5: Solve for x
    x = 771,395,076/12,964
  6. Step 6: Final answer
    x = 59,502.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.