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Finding the Third Proportional to 32,843.63 and 72,248.25

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Solution

The third proportional to 32,843.63 and 72,248.25 is: 158,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.63 : 72,248.25 = 72,248.25 : x
  2. Step 2: Convert to fraction form
    32,843.63/72,248.25 = 72,248.25/x
  3. Step 3: Cross multiply
    32,843.63x = 72,248.25 × 72,248.25
  4. Step 4: Simplify right side
    32,843.63x = 5,219,809,628.06
  5. Step 5: Solve for x
    x = 5,219,809,628.06/32,843.63
  6. Step 6: Final answer
    x = 158,929.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.