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Finding the Third Proportional to 14,595 and 22,257

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Solution

The third proportional to 14,595 and 22,257 is: 33,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595 : 22,257 = 22,257 : x
  2. Step 2: Convert to fraction form
    14,595/22,257 = 22,257/x
  3. Step 3: Cross multiply
    14,595x = 22,257 × 22,257
  4. Step 4: Simplify right side
    14,595x = 495,374,049
  5. Step 5: Solve for x
    x = 495,374,049/14,595
  6. Step 6: Final answer
    x = 33,941.35

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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.