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Finding the Third Proportional to 14,371 and 21,467.75

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Solution

The third proportional to 14,371 and 21,467.75 is: 32,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371 : 21,467.75 = 21,467.75 : x
  2. Step 2: Convert to fraction form
    14,371/21,467.75 = 21,467.75/x
  3. Step 3: Cross multiply
    14,371x = 21,467.75 × 21,467.75
  4. Step 4: Simplify right side
    14,371x = 460,864,290.06
  5. Step 5: Solve for x
    x = 460,864,290.06/14,371
  6. Step 6: Final answer
    x = 32,069.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.