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Finding the Third Proportional to 52,592.63 and 71,852.91

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Solution

The third proportional to 52,592.63 and 71,852.91 is: 98,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,592.63 : 71,852.91 = 71,852.91 : x
  2. Step 2: Convert to fraction form
    52,592.63/71,852.91 = 71,852.91/x
  3. Step 3: Cross multiply
    52,592.63x = 71,852.91 × 71,852.91
  4. Step 4: Simplify right side
    52,592.63x = 5,162,840,136.57
  5. Step 5: Solve for x
    x = 5,162,840,136.57/52,592.63
  6. Step 6: Final answer
    x = 98,166.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.