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Finding the Third Proportional to 13,046 and 28,972

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Solution

The third proportional to 13,046 and 28,972 is: 64,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046 : 28,972 = 28,972 : x
  2. Step 2: Convert to fraction form
    13,046/28,972 = 28,972/x
  3. Step 3: Cross multiply
    13,046x = 28,972 × 28,972
  4. Step 4: Simplify right side
    13,046x = 839,376,784
  5. Step 5: Solve for x
    x = 839,376,784/13,046
  6. Step 6: Final answer
    x = 64,339.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.