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Finding the Third Proportional to 29,599 and 63,396.50

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Solution

The third proportional to 29,599 and 63,396.50 is: 135,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,599 : 63,396.50 = 63,396.50 : x
  2. Step 2: Convert to fraction form
    29,599/63,396.50 = 63,396.50/x
  3. Step 3: Cross multiply
    29,599x = 63,396.50 × 63,396.50
  4. Step 4: Simplify right side
    29,599x = 4,019,116,212.25
  5. Step 5: Solve for x
    x = 4,019,116,212.25/29,599
  6. Step 6: Final answer
    x = 135,785.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.