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Finding the Third Proportional to 29,467.50 and 63,640.50

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Solution

The third proportional to 29,467.50 and 63,640.50 is: 137,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467.50 : 63,640.50 = 63,640.50 : x
  2. Step 2: Convert to fraction form
    29,467.50/63,640.50 = 63,640.50/x
  3. Step 3: Cross multiply
    29,467.50x = 63,640.50 × 63,640.50
  4. Step 4: Simplify right side
    29,467.50x = 4,050,113,240.25
  5. Step 5: Solve for x
    x = 4,050,113,240.25/29,467.50
  6. Step 6: Final answer
    x = 137,443.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.