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Finding the Third Proportional to 29,476 and 63,655

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Solution

The third proportional to 29,476 and 63,655 is: 137,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,476 : 63,655 = 63,655 : x
  2. Step 2: Convert to fraction form
    29,476/63,655 = 63,655/x
  3. Step 3: Cross multiply
    29,476x = 63,655 × 63,655
  4. Step 4: Simplify right side
    29,476x = 4,051,959,025
  5. Step 5: Solve for x
    x = 4,051,959,025/29,476
  6. Step 6: Final answer
    x = 137,466.38

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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.