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Finding the Third Proportional to 29,544 and 63,726

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Solution

The third proportional to 29,544 and 63,726 is: 137,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544 : 63,726 = 63,726 : x
  2. Step 2: Convert to fraction form
    29,544/63,726 = 63,726/x
  3. Step 3: Cross multiply
    29,544x = 63,726 × 63,726
  4. Step 4: Simplify right side
    29,544x = 4,061,003,076
  5. Step 5: Solve for x
    x = 4,061,003,076/29,544
  6. Step 6: Final answer
    x = 137,456.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.