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Finding the Third Proportional to 29,076 and 43,650

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Solution

The third proportional to 29,076 and 43,650 is: 65,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,076 : 43,650 = 43,650 : x
  2. Step 2: Convert to fraction form
    29,076/43,650 = 43,650/x
  3. Step 3: Cross multiply
    29,076x = 43,650 × 43,650
  4. Step 4: Simplify right side
    29,076x = 1,905,322,500
  5. Step 5: Solve for x
    x = 1,905,322,500/29,076
  6. Step 6: Final answer
    x = 65,529.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.