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Finding the Third Proportional to 14,690 and 22,378

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Solution

The third proportional to 14,690 and 22,378 is: 34,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690 : 22,378 = 22,378 : x
  2. Step 2: Convert to fraction form
    14,690/22,378 = 22,378/x
  3. Step 3: Cross multiply
    14,690x = 22,378 × 22,378
  4. Step 4: Simplify right side
    14,690x = 500,774,884
  5. Step 5: Solve for x
    x = 500,774,884/14,690
  6. Step 6: Final answer
    x = 34,089.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.