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Finding the Third Proportional to 15,519.09 and 23,312.81

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Solution

The third proportional to 15,519.09 and 23,312.81 is: 35,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,519.09 : 23,312.81 = 23,312.81 : x
  2. Step 2: Convert to fraction form
    15,519.09/23,312.81 = 23,312.81/x
  3. Step 3: Cross multiply
    15,519.09x = 23,312.81 × 23,312.81
  4. Step 4: Simplify right side
    15,519.09x = 543,487,226.66
  5. Step 5: Solve for x
    x = 543,487,226.66/15,519.09
  6. Step 6: Final answer
    x = 35,020.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.