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Finding the Third Proportional to 29,288 and 43,288

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Solution

The third proportional to 29,288 and 43,288 is: 63,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,288 : 43,288 = 43,288 : x
  2. Step 2: Convert to fraction form
    29,288/43,288 = 43,288/x
  3. Step 3: Cross multiply
    29,288x = 43,288 × 43,288
  4. Step 4: Simplify right side
    29,288x = 1,873,850,944
  5. Step 5: Solve for x
    x = 1,873,850,944/29,288
  6. Step 6: Final answer
    x = 63,980.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.