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Finding the Third Proportional to 10,175.63 and 24,510.09

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Solution

The third proportional to 10,175.63 and 24,510.09 is: 59,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.63 : 24,510.09 = 24,510.09 : x
  2. Step 2: Convert to fraction form
    10,175.63/24,510.09 = 24,510.09/x
  3. Step 3: Cross multiply
    10,175.63x = 24,510.09 × 24,510.09
  4. Step 4: Simplify right side
    10,175.63x = 600,744,695.63
  5. Step 5: Solve for x
    x = 600,744,695.63/10,175.63
  6. Step 6: Final answer
    x = 59,037.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.