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Finding the Third Proportional to 9,689 and 14,352

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Solution

The third proportional to 9,689 and 14,352 is: 21,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689 : 14,352 = 14,352 : x
  2. Step 2: Convert to fraction form
    9,689/14,352 = 14,352/x
  3. Step 3: Cross multiply
    9,689x = 14,352 × 14,352
  4. Step 4: Simplify right side
    9,689x = 205,979,904
  5. Step 5: Solve for x
    x = 205,979,904/9,689
  6. Step 6: Final answer
    x = 21,259.15

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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.