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Finding the Third Proportional to 32,984.72 and 72,018.28

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Solution

The third proportional to 32,984.72 and 72,018.28 is: 157,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.72 : 72,018.28 = 72,018.28 : x
  2. Step 2: Convert to fraction form
    32,984.72/72,018.28 = 72,018.28/x
  3. Step 3: Cross multiply
    32,984.72x = 72,018.28 × 72,018.28
  4. Step 4: Simplify right side
    32,984.72x = 5,186,632,834.20
  5. Step 5: Solve for x
    x = 5,186,632,834.20/32,984.72
  6. Step 6: Final answer
    x = 157,243.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.