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Finding the Third Proportional to 29,954 and 64,300

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Solution

The third proportional to 29,954 and 64,300 is: 138,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954 : 64,300 = 64,300 : x
  2. Step 2: Convert to fraction form
    29,954/64,300 = 64,300/x
  3. Step 3: Cross multiply
    29,954x = 64,300 × 64,300
  4. Step 4: Simplify right side
    29,954x = 4,134,490,000
  5. Step 5: Solve for x
    x = 4,134,490,000/29,954
  6. Step 6: Final answer
    x = 138,027.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.