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Finding the Third Proportional to 13,758 and 29,820

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Solution

The third proportional to 13,758 and 29,820 is: 64,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758 : 29,820 = 29,820 : x
  2. Step 2: Convert to fraction form
    13,758/29,820 = 29,820/x
  3. Step 3: Cross multiply
    13,758x = 29,820 × 29,820
  4. Step 4: Simplify right side
    13,758x = 889,232,400
  5. Step 5: Solve for x
    x = 889,232,400/13,758
  6. Step 6: Final answer
    x = 64,633.84

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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.