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Finding the Third Proportional to 29,994 and 64,956

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Solution

The third proportional to 29,994 and 64,956 is: 140,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,994 : 64,956 = 64,956 : x
  2. Step 2: Convert to fraction form
    29,994/64,956 = 64,956/x
  3. Step 3: Cross multiply
    29,994x = 64,956 × 64,956
  4. Step 4: Simplify right side
    29,994x = 4,219,281,936
  5. Step 5: Solve for x
    x = 4,219,281,936/29,994
  6. Step 6: Final answer
    x = 140,670.87

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Why These Related Problems?

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