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Finding the Third Proportional to 9,661 and 14,332

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Solution

The third proportional to 9,661 and 14,332 is: 21,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661 : 14,332 = 14,332 : x
  2. Step 2: Convert to fraction form
    9,661/14,332 = 14,332/x
  3. Step 3: Cross multiply
    9,661x = 14,332 × 14,332
  4. Step 4: Simplify right side
    9,661x = 205,406,224
  5. Step 5: Solve for x
    x = 205,406,224/9,661
  6. Step 6: Final answer
    x = 21,261.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.