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Finding the Third Proportional to 29,688.19 and 68,659.31

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Solution

The third proportional to 29,688.19 and 68,659.31 is: 158,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688.19 : 68,659.31 = 68,659.31 : x
  2. Step 2: Convert to fraction form
    29,688.19/68,659.31 = 68,659.31/x
  3. Step 3: Cross multiply
    29,688.19x = 68,659.31 × 68,659.31
  4. Step 4: Simplify right side
    29,688.19x = 4,714,101,192.97
  5. Step 5: Solve for x
    x = 4,714,101,192.97/29,688.19
  6. Step 6: Final answer
    x = 158,787.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.