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Finding the Third Proportional to 33,468.19 and 72,446.91

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Solution

The third proportional to 33,468.19 and 72,446.91 is: 156,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,468.19 : 72,446.91 = 72,446.91 : x
  2. Step 2: Convert to fraction form
    33,468.19/72,446.91 = 72,446.91/x
  3. Step 3: Cross multiply
    33,468.19x = 72,446.91 × 72,446.91
  4. Step 4: Simplify right side
    33,468.19x = 5,248,554,225.20
  5. Step 5: Solve for x
    x = 5,248,554,225.20/33,468.19
  6. Step 6: Final answer
    x = 156,822.18

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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.