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Finding the Third Proportional to 14,102 and 21,778

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Solution

The third proportional to 14,102 and 21,778 is: 33,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102 : 21,778 = 21,778 : x
  2. Step 2: Convert to fraction form
    14,102/21,778 = 21,778/x
  3. Step 3: Cross multiply
    14,102x = 21,778 × 21,778
  4. Step 4: Simplify right side
    14,102x = 474,281,284
  5. Step 5: Solve for x
    x = 474,281,284/14,102
  6. Step 6: Final answer
    x = 33,632.20

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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.