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Finding the Third Proportional to 6,596 and 14,416

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Solution

The third proportional to 6,596 and 14,416 is: 31,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 14,416 = 14,416 : x
  2. Step 2: Convert to fraction form
    6,596/14,416 = 14,416/x
  3. Step 3: Cross multiply
    6,596x = 14,416 × 14,416
  4. Step 4: Simplify right side
    6,596x = 207,821,056
  5. Step 5: Solve for x
    x = 207,821,056/6,596
  6. Step 6: Final answer
    x = 31,507.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.