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Finding the Third Proportional to 29,904 and 64,896

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Solution

The third proportional to 29,904 and 64,896 is: 140,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904 : 64,896 = 64,896 : x
  2. Step 2: Convert to fraction form
    29,904/64,896 = 64,896/x
  3. Step 3: Cross multiply
    29,904x = 64,896 × 64,896
  4. Step 4: Simplify right side
    29,904x = 4,211,490,816
  5. Step 5: Solve for x
    x = 4,211,490,816/29,904
  6. Step 6: Final answer
    x = 140,833.70

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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.