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Finding the Third Proportional to 29,563 and 63,815

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Solution

The third proportional to 29,563 and 63,815 is: 137,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,563 : 63,815 = 63,815 : x
  2. Step 2: Convert to fraction form
    29,563/63,815 = 63,815/x
  3. Step 3: Cross multiply
    29,563x = 63,815 × 63,815
  4. Step 4: Simplify right side
    29,563x = 4,072,354,225
  5. Step 5: Solve for x
    x = 4,072,354,225/29,563
  6. Step 6: Final answer
    x = 137,751.72

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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.