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Finding the Third Proportional to 9,764 and 14,875

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Solution

The third proportional to 9,764 and 14,875 is: 22,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764 : 14,875 = 14,875 : x
  2. Step 2: Convert to fraction form
    9,764/14,875 = 14,875/x
  3. Step 3: Cross multiply
    9,764x = 14,875 × 14,875
  4. Step 4: Simplify right side
    9,764x = 221,265,625
  5. Step 5: Solve for x
    x = 221,265,625/9,764
  6. Step 6: Final answer
    x = 22,661.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.