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Finding the Third Proportional to 14,041.69 and 15,256.69

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Solution

The third proportional to 14,041.69 and 15,256.69 is: 16,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.69 : 15,256.69 = 15,256.69 : x
  2. Step 2: Convert to fraction form
    14,041.69/15,256.69 = 15,256.69/x
  3. Step 3: Cross multiply
    14,041.69x = 15,256.69 × 15,256.69
  4. Step 4: Simplify right side
    14,041.69x = 232,766,513.47
  5. Step 5: Solve for x
    x = 232,766,513.47/14,041.69
  6. Step 6: Final answer
    x = 16,576.82

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.