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Finding the Third Proportional to 29,494 and 63,907.50

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Solution

The third proportional to 29,494 and 63,907.50 is: 138,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494 : 63,907.50 = 63,907.50 : x
  2. Step 2: Convert to fraction form
    29,494/63,907.50 = 63,907.50/x
  3. Step 3: Cross multiply
    29,494x = 63,907.50 × 63,907.50
  4. Step 4: Simplify right side
    29,494x = 4,084,168,556.25
  5. Step 5: Solve for x
    x = 4,084,168,556.25/29,494
  6. Step 6: Final answer
    x = 138,474.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.