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Finding the Third Proportional to 33,637.78 and 72,801.28

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Solution

The third proportional to 33,637.78 and 72,801.28 is: 157,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,637.78 : 72,801.28 = 72,801.28 : x
  2. Step 2: Convert to fraction form
    33,637.78/72,801.28 = 72,801.28/x
  3. Step 3: Cross multiply
    33,637.78x = 72,801.28 × 72,801.28
  4. Step 4: Simplify right side
    33,637.78x = 5,300,026,551.64
  5. Step 5: Solve for x
    x = 5,300,026,551.64/33,637.78
  6. Step 6: Final answer
    x = 157,561.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.