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Finding the Third Proportional to 9,421 and 14,596

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Solution

The third proportional to 9,421 and 14,596 is: 22,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421 : 14,596 = 14,596 : x
  2. Step 2: Convert to fraction form
    9,421/14,596 = 14,596/x
  3. Step 3: Cross multiply
    9,421x = 14,596 × 14,596
  4. Step 4: Simplify right side
    9,421x = 213,043,216
  5. Step 5: Solve for x
    x = 213,043,216/9,421
  6. Step 6: Final answer
    x = 22,613.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.