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Finding the Third Proportional to 10,142.63 and 15,105.75

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Solution

The third proportional to 10,142.63 and 15,105.75 is: 22,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.63 : 15,105.75 = 15,105.75 : x
  2. Step 2: Convert to fraction form
    10,142.63/15,105.75 = 15,105.75/x
  3. Step 3: Cross multiply
    10,142.63x = 15,105.75 × 15,105.75
  4. Step 4: Simplify right side
    10,142.63x = 228,183,683.06
  5. Step 5: Solve for x
    x = 228,183,683.06/10,142.63
  6. Step 6: Final answer
    x = 22,497.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.