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Finding the Third Proportional to 14,240 and 15,296

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Solution

The third proportional to 14,240 and 15,296 is: 16,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240 : 15,296 = 15,296 : x
  2. Step 2: Convert to fraction form
    14,240/15,296 = 15,296/x
  3. Step 3: Cross multiply
    14,240x = 15,296 × 15,296
  4. Step 4: Simplify right side
    14,240x = 233,967,616
  5. Step 5: Solve for x
    x = 233,967,616/14,240
  6. Step 6: Final answer
    x = 16,430.31

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.