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Finding the Third Proportional to 10,106 and 14,466

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Solution

The third proportional to 10,106 and 14,466 is: 20,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106 : 14,466 = 14,466 : x
  2. Step 2: Convert to fraction form
    10,106/14,466 = 14,466/x
  3. Step 3: Cross multiply
    10,106x = 14,466 × 14,466
  4. Step 4: Simplify right side
    10,106x = 209,265,156
  5. Step 5: Solve for x
    x = 209,265,156/10,106
  6. Step 6: Final answer
    x = 20,707.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.