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Finding the Third Proportional to 10,577 and 14,875

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Solution

The third proportional to 10,577 and 14,875 is: 20,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577 : 14,875 = 14,875 : x
  2. Step 2: Convert to fraction form
    10,577/14,875 = 14,875/x
  3. Step 3: Cross multiply
    10,577x = 14,875 × 14,875
  4. Step 4: Simplify right side
    10,577x = 221,265,625
  5. Step 5: Solve for x
    x = 221,265,625/10,577
  6. Step 6: Final answer
    x = 20,919.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.