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Finding the Third Proportional to 29,297 and 63,454

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Solution

The third proportional to 29,297 and 63,454 is: 137,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,297 : 63,454 = 63,454 : x
  2. Step 2: Convert to fraction form
    29,297/63,454 = 63,454/x
  3. Step 3: Cross multiply
    29,297x = 63,454 × 63,454
  4. Step 4: Simplify right side
    29,297x = 4,026,410,116
  5. Step 5: Solve for x
    x = 4,026,410,116/29,297
  6. Step 6: Final answer
    x = 137,434.21

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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.