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Finding the Third Proportional to 32,721 and 51,896.06

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Solution

The third proportional to 32,721 and 51,896.06 is: 82,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,721 : 51,896.06 = 51,896.06 : x
  2. Step 2: Convert to fraction form
    32,721/51,896.06 = 51,896.06/x
  3. Step 3: Cross multiply
    32,721x = 51,896.06 × 51,896.06
  4. Step 4: Simplify right side
    32,721x = 2,693,201,303.00
  5. Step 5: Solve for x
    x = 2,693,201,303.00/32,721
  6. Step 6: Final answer
    x = 82,308.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.