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Finding the Third Proportional to 14,374 and 22,202

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Solution

The third proportional to 14,374 and 22,202 is: 34,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374 : 22,202 = 22,202 : x
  2. Step 2: Convert to fraction form
    14,374/22,202 = 22,202/x
  3. Step 3: Cross multiply
    14,374x = 22,202 × 22,202
  4. Step 4: Simplify right side
    14,374x = 492,928,804
  5. Step 5: Solve for x
    x = 492,928,804/14,374
  6. Step 6: Final answer
    x = 34,293.09

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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.