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Finding the Third Proportional to 10,500.26 and 16,024.71

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Solution

The third proportional to 10,500.26 and 16,024.71 is: 24,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.26 : 16,024.71 = 16,024.71 : x
  2. Step 2: Convert to fraction form
    10,500.26/16,024.71 = 16,024.71/x
  3. Step 3: Cross multiply
    10,500.26x = 16,024.71 × 16,024.71
  4. Step 4: Simplify right side
    10,500.26x = 256,791,360.63
  5. Step 5: Solve for x
    x = 256,791,360.63/10,500.26
  6. Step 6: Final answer
    x = 24,455.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.