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Finding the Third Proportional to 29,483.34 and 64,758.38

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Solution

The third proportional to 29,483.34 and 64,758.38 is: 142,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,483.34 : 64,758.38 = 64,758.38 : x
  2. Step 2: Convert to fraction form
    29,483.34/64,758.38 = 64,758.38/x
  3. Step 3: Cross multiply
    29,483.34x = 64,758.38 × 64,758.38
  4. Step 4: Simplify right side
    29,483.34x = 4,193,647,132.64
  5. Step 5: Solve for x
    x = 4,193,647,132.64/29,483.34
  6. Step 6: Final answer
    x = 142,237.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.