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Finding the Third Proportional to 34,521.19 and 72,527.91

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Solution

The third proportional to 34,521.19 and 72,527.91 is: 152,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,521.19 : 72,527.91 = 72,527.91 : x
  2. Step 2: Convert to fraction form
    34,521.19/72,527.91 = 72,527.91/x
  3. Step 3: Cross multiply
    34,521.19x = 72,527.91 × 72,527.91
  4. Step 4: Simplify right side
    34,521.19x = 5,260,297,185.01
  5. Step 5: Solve for x
    x = 5,260,297,185.01/34,521.19
  6. Step 6: Final answer
    x = 152,378.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.