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Finding the Third Proportional to 29,697 and 63,999

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Solution

The third proportional to 29,697 and 63,999 is: 137,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697 : 63,999 = 63,999 : x
  2. Step 2: Convert to fraction form
    29,697/63,999 = 63,999/x
  3. Step 3: Cross multiply
    29,697x = 63,999 × 63,999
  4. Step 4: Simplify right side
    29,697x = 4,095,872,001
  5. Step 5: Solve for x
    x = 4,095,872,001/29,697
  6. Step 6: Final answer
    x = 137,922.08

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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.