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Finding the Third Proportional to 14,271 and 21,962.25

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Solution

The third proportional to 14,271 and 21,962.25 is: 33,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271 : 21,962.25 = 21,962.25 : x
  2. Step 2: Convert to fraction form
    14,271/21,962.25 = 21,962.25/x
  3. Step 3: Cross multiply
    14,271x = 21,962.25 × 21,962.25
  4. Step 4: Simplify right side
    14,271x = 482,340,425.06
  5. Step 5: Solve for x
    x = 482,340,425.06/14,271
  6. Step 6: Final answer
    x = 33,798.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.