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Finding the Third Proportional to 14,271 and 22,803

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Solution

The third proportional to 14,271 and 22,803 is: 36,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271 : 22,803 = 22,803 : x
  2. Step 2: Convert to fraction form
    14,271/22,803 = 22,803/x
  3. Step 3: Cross multiply
    14,271x = 22,803 × 22,803
  4. Step 4: Simplify right side
    14,271x = 519,976,809
  5. Step 5: Solve for x
    x = 519,976,809/14,271
  6. Step 6: Final answer
    x = 36,435.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.