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Finding the Third Proportional to 12,816 and 29,657

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Solution

The third proportional to 12,816 and 29,657 is: 68,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 29,657 = 29,657 : x
  2. Step 2: Convert to fraction form
    12,816/29,657 = 29,657/x
  3. Step 3: Cross multiply
    12,816x = 29,657 × 29,657
  4. Step 4: Simplify right side
    12,816x = 879,537,649
  5. Step 5: Solve for x
    x = 879,537,649/12,816
  6. Step 6: Final answer
    x = 68,628.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.