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Finding the Third Proportional to 10,106 and 15,378

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Solution

The third proportional to 10,106 and 15,378 is: 23,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106 : 15,378 = 15,378 : x
  2. Step 2: Convert to fraction form
    10,106/15,378 = 15,378/x
  3. Step 3: Cross multiply
    10,106x = 15,378 × 15,378
  4. Step 4: Simplify right side
    10,106x = 236,482,884
  5. Step 5: Solve for x
    x = 236,482,884/10,106
  6. Step 6: Final answer
    x = 23,400.25

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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.